MATH SOLVE

5 months ago

Q:
# 2x-6y=12-6x-4y=-14Use the elimination method to solve. Pls help I'm desperate.

Accepted Solution

A:

Answer: x=3 and y=−1 AND/OR (3, 1) Step by Step: 1) Multiply the first equation by 3, and multiply the second equation by 1. 3(2x−6y=12) 1(−6x−4y=−14)2) Becomes: 6x−18y=36 −6x−4y=−143) Add these equations to eliminate x: −22y=224) Then solve −22y = 22 for y: −22y−22=22−22 (Divide both sides by -22) y=−15) Now that we've found y let's plug it back in to solve for x.6) Write down an original equation: 2x−6y=127) Substitute−1for y in2x−6y=12:2x − (6) (−1) =122x + 6 = 12 (Simplify both sides of the equation)2 x + 6 + − 6 = 12 + −6 (Add -6 to both sides)2 x = 62 x 2 = 62 (Divide both sides by 2)x = 3