5.Regarding the equations below. What is the value of x?
5x + 2y = 4
x – 3y = –23
Answers
Answer:
x=−2
y=7
Step-by-step explanation:
5x+2y=4
x−3y=−23
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x+2y=4,x−3y=−23
To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.
5x+2y=4,5x+5(−3)y=5(−23)
Simplify.
5x+2y=4,5x−15y=−115
Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.
5x−5x+2y+15y=4+115
Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.
2y+15y=4+115
Add 2y to 15y.
17y=4+115
Add 4 to 115.
17y=119
Divide both sides by 17.
y=7
Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.
x−3×7=−23
Multiply −3 times 7.
x−21=−23
Add 21 to both sides of the equation.
x=−2
The system is now solved.
x=−2,y=7
Graph if needed:
Related Questions
A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle.
True or false??
Answers
Given:
The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."
To find:
Whether the given statement in true or false.
Solution:
Area of circle is
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is
[tex]A_1=\pi (r_1)^2[/tex]
The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:
[tex]r_2=1.5r_1[/tex]
The area of the new circle is
[tex]A_2=\pi (r_2)^2[/tex]
[tex]A_2=\pi (1.5r_1)^2[/tex]
[tex]A_2=2.25\pi (r_1)^2[/tex]
[tex]A_2=2.25A_1[/tex]
The area of the new circle is 2.25 times the area of the original circle.
Therefore, the given statement is false.
7 (1) = 7 is an example of what property?
Answers
Answer:
Identity property
Step-by-step explanation:
Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.
I hope it's helpful!
PLS HELP I'LL GIVE THE BRAINLEST
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each equation to the line of best fit that it models.
y=4/7x+2
y=x+2
y=-x+2
y=-1/7x+2
y=1/7x+2
Answers
Answer:
first box y=4/7x+2
second box y=-1/7x+2
thrid box y=x+2
4th box y+1/7x+2
Step-by-step explanation:
The equation of the line of best fit that it models. y = 4/7x + 2, y = -1/7x + 2, y = x + 2 and y +1/7x + 2.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The tiles to the correct boxes to the pairs.
The equation of the line of best fit that it models.
First box y = 4/7x + 2
Second box y = -1/7x + 2
Thrid box y = x + 2
Fourth box y +1/7x + 2
Learn more about linear equations;
https://brainly.com/question/27056029
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I will go down on you at this point
Answers
Ryan has 8 kittens. Two are white. what fraction of the kittens are not white? Write in simplest form. I will brainliest
P.S. (This is for my little sister)
Answers
Answer:
3/4
Because 6 are not white so 6/8 and divide each by 2
6 divided by 2 = 3
8 divided by 2 = 4
= 3/4
Step-by-step explanation:
Hope this helps her!!!
a company sells tablet computers and phones. it sells a total of 150 items this month. the number of tablets sold is half of the number of phones sold. the company makes profit of $300 on each tablet and $400 on each phone. what is the profit the company makes this month?
Answers
Answer:
$52500 this month
Step-by-step explanation:
150 divided by 2 = 75
$75 x 300 = 22500
$75 x $400 = 30000
$22500
+ $30000
_________
$52500
YO SOMEBODY HELP PLS IM STUCK
Answers
Answer:
Step-by-step explanation:
Thank me later
its - 5 why becase look at the question if im wrong sorry
its - 5
Given that (1,9) is on the graph of f(x), find the corresponding point for the function f(x+3).
Answers
If f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is
Answers
Step-by-step explanation:
g(fx)=g(3x+5)
= (3x+5)²+1
having trouble with fractions
z-2/5=1/3
Answers
Answer:
z=11/15
Step-by-step explanation:
z=1/3+2/5=1x5/15+2x3/15=5/15+6/15=11/15
Are natural numbers, whole numbers and integers also rational numbers
Answers
Answer:
yes they are rational
Step-by-step explanation:
in mathematics rule numbers that are positive are usually in rational form❤
Given A(5, –2), what are the coordinates of (T⟨−3, 4⟩∘ Rx-axis)(A)?
Answers
Answer:
not sure
Step-by-step explanation:
Following are the calculation to the given coordinates:
[tex]\to T (-2, 5)[/tex]
The y-axis reflection:Modify its abscissa's sign, i.e., the x-coordinate.Keep this ordinate, which would be the y-coordinate.[tex]\to[/tex] (-2, 5) is the image (-2, -5).
Also, as a result, the coordinates of point T' after the Ry-axis are as follows: (2, 5).
Whenever a point is reflected throughout the x-axis, the x-coordinate is unchanged, but the "y-coordinate" is assumed to be the additional inversion.[tex]\to[/tex] (-2, 5) is the image (-2, -5).
As a result, the coordinates of point T' after the Rx-axis are just as follows: (-2, -5)Learn more:
brainly.com/question/19276871
Help? and please make sure it’s right :)
Answers
Answer:
x=7
Step-by-step explanation:
180-105= 75°
11x-2=75°
11x=77
x=7
HELP pls if you know this
Answers
Answer:
58
Step-by-step explanation:
. Evaluate: y − (z + z^2); use y = 10, and z = 2
Answers
The sum of 3 times the value of x and 2 is equal to 4 less than 5 times the value of x. Which equation can be used
to find the value of X?
Answers
Answer:
the equation must be 3x + 2 = 5x - 4
Nora bought a car last year so that she could drive to work after school. She spent $250 last year for gas. This year she spent $295.
Disregarding other factors, what is the inflation rate?
18%
19%
20%
21%
PLEASE HELP ASAPPP THIS IS QUESTION 30
Answers
A triangle is show below, what is the value of X?
Answers
Answer:
x=149
Step-by-step explanation:
pythagoras theorem dictates that a squared +b squared= c squared
in this case, c=x
51*51+140*140=x*x
2601+19600=x*x
22201=x*x
x=149
find the lenght of cd
Answers
Use the distance formula.
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]x_2=7\\x_1=3\\y_2=-8\\y_1=-2[/tex]
[tex]\sqrt{(7-3)^2+(-8-(-2))^2}[/tex]
=[tex]\sqrt{4^2+(-6)^2}[/tex]
=[tex]\sqrt{16+36}[/tex]
=[tex]\sqrt{52}[/tex]
≈7.2111...
So the answer is B! Hope this helped!
A box plot is also known as a scatterplot.
O A. True
O B. False
Answers
(Box plot is different from a scatter plot)
how many factors of 10 are in 10 of the third power?
Answers
Answer:2 times 5 equals 10
Step-by-step explanation:
"The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10." From ww.infoplease.com great resource
The required factor of 10 in 10 of the third power is 3.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
10 of the third power = 10³
10³ = 10×10×10
The expression 10×10×10 has 3, 10's
Thus, the required factor of 10 in 10 of the third power is 3.
Learn more about Factors here:
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Caleb parks his car on the 2nd floor below ground and works
on the 7th floor. How many floors must he go up from his car
to reach his office?
Answers
Answer:
9
Step-by-step explanation:
please follow rate thank
pls answer correctly or u get rPoRtEd
Answers
Answer:
no answers yet
Step-by-step explanation:
Problem ID: PRABEE2G
Solve:
14x+y=7
Write your answer in the following format:
with no spaces.
Answers
Answer:
x = 7/10; y = 21/5
Step-by-step explanation:
y = 6x
4x + y = 7
Since the first equation is already solved for y, we can easily use the substitution method. We substitute 6x for y in the second equation and solve for x.
4x + y = 7
4x + 6x = 7
10x = 7
x = 7/10
Now we use the first equation and substitute 7/10 for x and solve for y.
y = 6x
y = 6 * 7/10
y = 42/10
y = 21/5
Answer: x = 7/10; y = 21/5
Evaluate the expression below using the order of operations. 12 + 9 x 4^2 divided (2 + 1)
Answers
sorry if it doesn't help .
[tex] \frac{?}{32} = \frac{25}{100} [/tex]
fill in the blank
Answers
8 is your answer.
Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem?
Answers
Answer:
5x - 9 = 2x + 23
Step-by-step explanation:
x = a number
5 times x = 5x
decreased by 9 = - 9
=
2 times x = 2x
increased by 23 = + 23
Answer:
Step-by-step explanation:
The answer is B. 5x – 9 = 2x + 23. i just took the test.
Which expression is equivalent to 5 - 3(x + 2)?
Answers
Answer:
2x+4
Step-by-step explanation:
5-3(x+2)
2(x+2)
2x+4
Bob wants to order some books from an online bookstore. Each book costs 16.50 and shipping for the entire order is a flat rate of 25.03. Bob can spend no more than 78.00
Answers
Answer:
x ≤ 3.210
Bib can buy no more Than 3 books
Step-by-step explanation:
Given that:
Cost per book = 16.50
Total shipping = 25.03
Total budgeted amount = 78
The number of books, x that can be ordered can be represented by the inequality :
16.50x + 25.03 ≤ 78
16.50x ≤ 78 - 25.03
16.50x ≤ 52.97
x ≤ 52.97 / 16.50
x ≤ 3.210
Bib can buy no more Than 3 books
Solve the system.
4x+2y+3z=12
2x−3y+5z=−7
6x−y+4z=−3