How do you solve x+2y=4 and 3x-4y=7?

1 Answer
Apr 1, 2016

Solving by substitution:

Explanation:

x + 2y = 4 -> x = 4 - 2yx+2y=4x=42y

3(4 - 2y) - 4y = 73(42y)4y=7

12 - 6y - 4y = 7126y4y=7

-10y = 7 - 1210y=712

-10y = -510y=5

y = 1/2y=12

x + 2(1/2) = 4x+2(12)=4

x + 1 = 4x+1=4

x = 3x=3

Your solution set is {3, 1/2}{3,12}. Don't forget to present your solutions in the form {x, y}{x,y}.

Hopefully this helps!