Question

Use addition to solve the linear system of equations. Include all of your work in your final answer.
{3x - y = 6
{y = x - 4



WRITER

Answer 1

We are given
3x − y = 6
y = x − 4.

Rewrite the second equation in standard form: −x + y = −4.

Add the two equations to eliminate y:
(3x − y) + (−x + y) = 6 + (−4)
3x − y − x + y = 2
2x = 2
x = 1.

Substitute x = 1 into y = x − 4:
y = 1 − 4 = −3.

Solution: (x, y) = (1, −3).

Check: 3(1) − (−3) = 3 + 3 = 6, which matches the first equation.