Question

Solve the simultaneous equations
2x + 3y = 13
4x - y = -2

Answer 1

x = 0.5, y = 4

Explanation:

We have 4x - y = -2, so 4x = y - 2 and x = (y-2)/4.

Then, 2x = 2(y-2)/4=(y-2)/2. And, we have (y-2)/2 + 3y = 13, then y-2 + 6y = 26, 7y - 2 = 26 and y = 28/7 = 4.

Now it's very easy: if y = 4, we can modify second equation in 4х - 4 = -2. So, 4x = -2+4 = 2, and finally x = 2/4 = 0.5..

Hope that this was helpful.