Question

Solve the system of equations by graphing
y=x
y=-3x+4

Answer 1

(1,1)

Explanation:

Since we have a defined variable, we can use substitution to solve.

If
`y=x`, that means that we can substitute
`x` for anywhere we have
`y`.

`y=-3x+4`

`x=-3x+4`

Then, we can combine like terms and simplify the equation to find
`x`.

`(x+3x) = (-3x+3x) +4`

`4x=4`

`((4x)/(4)) = ((4)/(4))`

So,
`x=1`.

`y=x`, therefore
`y` also equals 1.

Lines
`y=x` and
`y=-3x+4` meet at point (1,1).