Question

Y=4x-8 y=2x-2
plz help me find the answer
slove for substitution

Answer 1

The solution is
`(3,4)`

Explanation:

To solve the equation by substitution method, we need to substitute an equivalent value of a variable in one equation to an another equation.

The given two equations are
`y=4x-8` and
`y=2x-2` .

Thus, we know the equivalent value of y from one equation, let us subsitute the value of y from the equation
`y=2x-2` to the equation
`y=4x-8`

`4x-8=2x-2`

Subtracting 2x from both sides of the equation, we get,

`2x-8=-2`

Adding 8 to both sides of the equation, we get,

`2x=6`

Dividing by 2 on both sides of the equation,

`x=3`

Now, substituting
`x=3` in the equation
`y=2x-2`, we get,

`\begin{aligned}y &=2 x-2 \\&=2(3)-2 \\&=6-2 \\y &=4\end{aligned}`

Thus, the solution is
`(3,4)`