Question

Solve the following system by graphing

{y=x-4}
{y=-x+6}

1. (1,5)
2.(0,5)
3.(5,0)
4.(5,1)​

Answer 1

Explanation:

When they ask you to solve graphically they want you to construct those functions and note where the two lines intersect as that is the solution to the system of equations. Solving mathematically they will be equal when y=y so we can say

x-4=-x+6 add x to both sides

2x-4=6. add 4 to each side

2x=10. divide each side by 2

x=5, since y=x-4

y=5-4

y=1

So the lines will intersect at the point (5,1)