The solution is [tex](3,4)[/tex]
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 [tex]y=4x-8[/tex] and [tex]y=2x-2[/tex] .
Thus, we know the equivalent value of y from one equation, let us subsitute the value of y from the equation [tex]y=2x-2[/tex] to the equation [tex]y=4x-8[/tex]
[tex]4x-8=2x-2[/tex]
Subtracting 2x from both sides of the equation, we get,
[tex]2x-8=-2[/tex]
Adding 8 to both sides of the equation, we get,
[tex]2x=6[/tex]
Dividing by 2 on both sides of the equation,
[tex]x=3[/tex]
Now, substituting [tex]x=3[/tex] in the equation [tex]y=2x-2[/tex], we get,
[tex]\begin{aligned}y &=2 x-2 \\&=2(3)-2 \\&=6-2 \\y &=4\end{aligned}[/tex]
Thus, the solution is [tex](3,4)[/tex]
