Answer:
x = 4 , y = 4
Explanation:
given the system of equations
2x + y = 12 ( subtract 2x from both sides )
y = 12 - 2x → (1)
7x - 4y = 12 → (2)
substitute y = 12 - 2x into (2)
7x - 4(12 - 2x) = 12 ← distribute parenthesis on left side and simplify
7x - 48 + 8x = 12
15x - 48 = 12 ( add 48 to both sides )
15x = 60 ( divide both sides by 15 )
x = 4
substitute x = 4 into (1) and solve for y
y = 12 - 2(4) = 12 - 8 = 4
the solution is x = 4 , y = 4