Question

What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 1
3x - 4y = 10

Answer 1

First solve both equations for y:

y = (1-2x)/3

y = (10-3x)/-4


Second, set y = y:

3(10-3x) = -4(1-2x)

3. Distribute:

30 - 9x = -4 +8x

Put like terms on one side:

17x = 34

Divide both sides by 17:

x = 2