Answer:
y = 9
Explanation:
First, simplify the equation by collecting like terms (with the same variable).
I will move all the "y" to the left and the "x" to the right.
x + 3y = 4x + y
x - x + 3y = 4x - x + y Subtract x on both sides
3y = 3x + y "x" is cancelled out on the left
3y - y = 3x + y - y Subtract y on both sides to cancel out on the right.
2y = 3x Simplified equation
Now, substitute any "x" with 6.
2y = 3(6) Simplify the multiplication
2y = 18
2y/2 = 18/2 Divide both sides by 2 to isolate "y"
y = 9 Solved for "y"
Check your answer:
Substitute "x" with 6 and "y" with 9.
x + 3y = 4x + y
6 + 3(9) = 4(6) + 9 Simplify multiplication first
6 + 27 = 24 + 9 Simplify each side by adding
33 = 33 Same answers
LS = RS Left side equal right side
Therefore the answer is correct.