Question

Solve the system of linear equations. 4x + 6y = 12 x + 2y = 10 The solution is​

Answer 1

x = -18, y = 14

Explanation:

4x + 6y = 12

x + 2y = 10

Divide both sides of the first equation by 2. Write the second equation below it.

2x + 3y = 6

x + 2y = 10

Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations eliminating x.

2x + 3y = 6

(+) -2x - 4y = -20

-------------------------

-y = -14

y = 14

Substitute 14 for y in the second equation and solve for x.

x + 2y = 10

x + 2(14) = 10

x + 28 = 10

x = -18

Solution: x = -18, y = 14