Answer:
y = -5 and x = -17
Step-by-step explanation:
We want to solve these two equations,
x = 3y - 2
x = 5y + 8
We can see that they both equal x so we want make them equal to each other so,
→ 3y - 2 = 5y + 8
⇒ Subtract 5y from both sides to collect the 'y' terms
→ -2y - 2 = 8
⇒ Add 2 both sides to collect the numerical terms
→ -2y = 10
⇒ Divide both sides by -2 to isolate y
→ y = -5
Now that we have found the value of y we can substitute this value into one of the 2 equations we have to find the value of x
⇒ We know that y = -5 so lets substitute that into x = 3y - 2
→ x = 3 × -5 - 2
⇒ Simplify
→ x = -15 - 2
⇒ Simplify further
→ x = - 17