Solve x+2y=12 and 2x-y=4 algebraically

Question

Raphael Foster

Mathematics

26 December, 17:05

Solve x+2y=12 and 2x-y=4 algebraically

+1

Answers (1)

Know the Answer?

Hunter Little · Answer 1

Let's solve for x.

x + 2y = 12 Step 1: Add - 2y to both sides. x + 2y + - 2y = 12 + - 2y x = - 2y + 12 Answer: x = - 2y + 12

Let's solve for y. x + 2y = 12 Step 1: Add - x to both sides. x + 2y + - x = 12 + - x 2y = - x + 12 Step 2: Divide both sides by 2. 2y 2 = - x + 12 / 2 y = - 1 / 2 x + 6

Let's solve for x. 2x - y = 4 Step 1: Add y to both sides. 2x - y + y = 4+y 2x = y+4 Step 2: Divide both sides by 2. 2x / 2 = y+4 / 2 x = 1/2 y + 2

Let's solve for y. 2x - y = 4 Step 1: Add - 2x to both sides. 2x - y + - 2x = 4 + - 2x - y = - 2x + 4 Step 2: Divide both sides by - 1. - y / - 1 = - 2x + 4 / - 1 y = 2x - 4 Answer: y = 2x - 4