Question

What are the coordinates (x,y) of the solution to the system of equations?

Answer 1

Given

The system of equations given are

`\begin{gathered} y=-8x+10 \\ y=x-8 \end{gathered}`

Explanation

Solve the given system of equations using elimination method

`\begin{gathered} y=-8x+10..........1 \\ y=x-8......2 \end{gathered}`

Subtract equation 1 by equation 2.

`\begin{gathered} (y+8x-10)-(y-x+8)=0 \\ 8x-10+x-8=0 \\ 9x=18 \\ x=2 \end{gathered}`

Now find the value of y by substitute the value of x in equation 1.

`\begin{gathered} y=-8*2+10 \\ y=-16+10 \\ y=-6 \end{gathered}`

Answer

Hence the coordinates of x and y to the system of equations is

`(2,-6)`