Question

Use substitution to solve the
following system of equations.
2x + 4y = 12 AND x=y - 3

Answer 1

The solution is (0, 3)

Explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3. Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)