Answer:
x = -5 y = -3
Step-by-step explanation:
-3x + 2y = 9
multiply the 2nd equation by 3 to set it up for elimination
3(x - 3y)= 3(4)
3x-9y = 12
so now combine both to add
-3x + 2y = 9
3x - 9y = 12
Adding both gives you
-7y = 21
divide both by -7 and you get
y = -3
and you substitute y back into equation to get x
x - 3 (-3) = 4 gives you
x + 9 = 4
x = 4 - 9
x = -5
Answer:
B
Step-by-step explanation:
To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.
5x+14=k
First, subtract 14 from both sides, because 14 is being added on to 5x. Subtraction is the opposite of addition.
5x+14-14=k-14
5x=k-14
Now, divide both sides by 5, because 5 and x are being multiplied. Division is the opposite of multiplication.
5x/5=k-14/5
x=k-14/5
So, the correct answer is choice B
Answer:
The length of line segment FG is equal to the length of F'G'
The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.
Step-by-step explanation:
Given
CDEFG and C'D'E'F'G
Translation: 7 units up and 5 units left
Solving (a): Segment FG and F'G'
When a shape is translated, the resulting image will have the same lengths as the original image (i.e, translation does not change measurements)
Hence:

Solving (b): Perimeter CDEFG and C'D'EF'G'
In (a), we established that lengths do not change during translation;
Hence:
The perimeter of the CDEFG and C'D'EF'G' will remain the same
Answer:
6ft
Step-by-step explanation: