Question

What is the result of subtracting the second equation from the first?

8x - 4y = -4
-3x+ 4y = 5​

Answer 1

Answer:
`11x-8y=-9`

Explanation:

For this exercise you need to remember:

1) The mulitplication of signs:

`(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-`

2) By definition, like terms contain the same variables with the same exponent.

Then knowing this, and given the equations:

`8x - 4y = -4` and
`-3x+ 4y = 5`

You must subtract the like terms, which means that you must subtract the numerical coefficients of each term.

Then, you get the result is:

`8x - 4y = -4\\-3x+ 4y = 5\\...............................................\\8x-(-3x)-4y-4y=-4-5\\8x+3x-8y=-9\\11x-8y=-9`