type the correct answer in each box. if necessary, use / for the fraction bar(s). find the solution for this…

Explanation:

Step1: Substitute x in first - equation

Substitute $x = 6y-5$ into $2x - 3y=2$. We get $2(6y - 5)-3y = 2$.

Step2: Expand and simplify

Expand the left - hand side: $12y-10 - 3y=2$. Combine like terms: $9y-10 = 2$.

Step3: Solve for y

Add 10 to both sides: $9y=2 + 10$, so $9y=12$. Then divide both sides by 9: $y=\frac{12}{9}=\frac{4}{3}$.

Step4: Solve for x

Substitute $y = \frac{4}{3}$ into $x = 6y-5$. So $x=6\times\frac{4}{3}-5$. Calculate $6\times\frac{4}{3}=8$, then $x=8 - 5=3$.

Answer:

$x = 3$ $y=\frac{4}{3}$