Question

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

Answer 1

The solution is $(3,4)$

Step-by-step 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 $(3,4)$