Question

What equation results from adding the following system of equations?

2.5y + 3x = 27
5x – 2.5y = 5
A. -8x = 32
B. 8x = 32
C. 5y + 8x = 32
D. 8x - 5y = 32

Answer 1

By adding the like terms from the equations 2.5y + 3x = 27 and 5x - 2.5y = 5, the y terms cancel out, and you're left with 8x = 32 as the resulting equation.

Step-by-step explanation:

To find the resulting equation from adding the two given equations, you simply add the like terms from each side of both equations. So, from the equations 2.5y + 3x = 27 and 5x - 2.5y = 5, you add the x terms (3x and 5x) together and the y terms (2.5y and -2.5y) cancel each other out.

Adding the x terms:

3x + 5x = 8x

Since the y terms cancel each other:

2.5y - 2.5y = 0

You then add the constants 27 and 5:

27 + 5 = 32

The final equation after adding them is:

8x = 32