Question

Solve the systemof linear equations -3x+y=2 -x+y-4=0​

Answer 1

Answer:

(1, 5)

Step-by-step explanation:

Substitution works well here.  Solving the second equation for x, we get x = y - 4.  Substituting y - 4 for x in the first equation results in

-3(y - 4) + y = 2.

Next, we perform the indicated multiplication and obtain:

-3y + 12 + y = 2, or -2y = -10

Dividing both sides by -2 yields y = 5.  As seen above, x = y - 4; if y = 5, then x = 5 - 4 = 1.

The solution is (1, 5)