Question

What is the solution to the system of equations when graphed? y=-2x+3 y=-4x+15

Answer 1

Is the intercept of both lines. See below

Explanation:

`y=-2x+3`
`y=-4x+15`

This system represents two stright lines in plane. Observe that both lines have differente slope, so, they have a point in common

This point can be found solving the system (equalation for example)

`-2x+3=-4x+15`
`-2x+4x=15-3`
`2x=12`
`x=6`

To find `y`, replace `x` value in the first (or second if you want) equation

`y=-2·6+3=-12+3=-9`

The intercept point is `(6,-9)` You can see a graph representing situation