Question

What is the solution to the system of equations? Use the substitution method. {y=2x+43x−6y=3 Enter your answer in the boxes

Answer 1

the solution is (-3, -2)

Explanation:

Please, separate your equations with a (;) or a (.). Better yet, write only one equation per line:

y=2x+4

3x−6y=3

Substitute 2x + 4 for y in the second equation:

3x - 6(2x + 4) = 3, or

3x - 12x - 24 = 3

Combining like terms, we get -9x = 27, and so x = -27/9, or x = -3.

Since we know that y=2x+4, we replace x in this equation with -3 and calculate y:

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

Then the solution is (-3, -2).