Question

What is the result of subtracting the second equation from the first?
8x - 4y = -4
-3x+ 4y = 5​

Answer 1

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

Step-by-step 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:

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