Solve the system of equations.
\begin{aligned} & -5x+8y = 0 & -7x-8y = -96 \end{aligned}


−5x+8y=0
−7x−8y=−96


x=x=x, equals
y=y=y, equals

(x, y) = (8, 5)

Step-by-step explanation:

The equations are:

Adding (1) and (2), we get:

⇒ x = 8

Substituting x = 8, in Equation (1), we get:

8y = 5x

⇒ y = 5

Therefore, the root of the equation: (x, y) = (8, 5).

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)