Question

The system of equation y=-2x+3 and y=x is graphed.what is the solution to the system of equations

Answer 1

(x, y) = (1, 1)

Explanation:

Using the second equation to substitute for y in the first equation, we have ...

x = -2x +3

3x = 3 . . . . . . . add 2x

x = 1 . . . . . . . . .divide by 3

y = x = 1

The solution is (x, y) = (1, 1).

_____

If you have the graph, you can read the solution from it as the coordinates of the point where the lines cross.