CPM Homework Banner
8-58.
  1. Solve the following systems of equations using any method. Check your solution if possible. Homework Help ✎

    1. 6x − 2y = 10
      3x − y = 2

    2. x − 3y = 1
      y = 16 − 2x

You can use the elimination method.

Multiply the second equation by −2.

Add the two equations together, combining like terms.

There is no solution.

−2(3xy = 2)
−6x + 2y = − 4

6x − 2y = 10
−6x + 2y = −4
0 = 6

You can use the substitution method.

Distribute and solve for x.

Combine like terms.

Add 48 to both sides.

Divide by 7 on both sides.

x − 3(16 − 2x) = 1
x − 48 + 6x = 1

7x − 48 = 1

7x = 49