Question

Which equation results from adding the equations in this system?

-8x+8y=8

3x-8y=-18

Answer 1

Adding the equations will give you: -5x = -10 and the value of x is 2

Explanation:

To solve the system of the equation;

-8x+8y=8 ______(1)

3x-8y=-18_______(2)

Adding equation (1) and equation (2) will result to a new equation;

-5x = -10 {That is; -8x + 3x = -5x 8y+(-8y)=0 8+(-18)=-10}

To further find the value of x, we will divide both-side of the equation by -5

-5x/-5 = -10/-5

(On the left-hand side of the equation, -5 at the numerator will cancel-out minus 5 at the denominator, leaving us with just x, while on the right-hand side of the equation minus ten will be divided by minus 5)

x = -10/-5

x =2

Therefore, adding equation 1 and equation two will result to : -5x = -10

and when you further simplify the value of x is 2

Answer 2

Just Add the equations
[ Remember, Like terms together ]

(-8x+3x) + (8y-8y) = (8-18)
-5x = -10

In short, Your Resulted Equation would be: -5x = -10
[ Can solve further, for coordinates ]

Hope this helps!