Question

2x + y = 3
x - 2y = -1

If equation two is multiplied by -2 and then the equations are added, the result is _____.

Answer 1

Answer:

result:

$y = 1$

Step-by-step explanation:

First we multiply all the terms of the second equation with -2. So we have:

$x - 2y = - 1 \\ ( - 2)x - 2y( - 2) = - 1( - 2) \\ - 2x + 4y = 2$

When we add them together the terms 2x and -2x will cancel out.

$2x + y - 2x + 4y = 3 + 2 \\ y + 4y = 5 \\ 5y = 5 \\ y = \frac{5}{5} \\ y = 1$

Hope it helped :)