Answer:
x=3, Y= 4
Step-by-step explanation:
① Label the 2 equations
Y= ⅓x +3 -----(1)
Y= 2x -2 -----(2)
② Since both equations are Y= ____, substitute one equation into the other so that we are left with x terms and constant only.
subst. (1) into (2):
⅓x +3= 2x -2
③ Bring x terms to one side and constants to the other.
2x -⅓x= 3 +2
simplify:
[tex] \frac{5}{3} x = 5[/tex]
[tex]x = 5 \div \frac{5}{3} \\ x = 5 \times \frac{3}{5} \\ x = 3[/tex]
④ Solve for y.
Subst. x=3 into (2):
Y= 2(3) -2
Y= 6 -2
Y= 4
