Answer:
A) x = 1 2/3, y = 4 2/3
Step-by-step explanation:
There are several techniques to finding the solution of a system of equations, such as graphing, substitution, and elimination. Because both equations are written in mx + b form, substitution might be the easiest technique.
Substitution involves solving for one variable, then substituting that value into the other equation. We can substitute [tex]4x-2[/tex] for y in the second equation to solve for x.
[tex]4x-2=x+3\\3x=5\\x=\frac{5}{3}[/tex]
Now that we have x, we can plug this value into the original equation to solve for y.
[tex]y=4*\frac{5}{3} -2\\y=\frac{20}{3} -\frac{6}{3} =\frac{14}{3}\\\\y=\frac{5}{3} +3=\frac{14}{3}[/tex]
We got the same value for y in both equations, so we can be confident that the correct solution is [tex](\frac{5}{3} ,\frac{14}{3})[/tex] or [tex](1\frac{2}{3} ,4\frac{2}{3})[/tex].
