Question

How do solve the following linear system?: `x+2y =2 , x-2y = -3`?

Answer 1

Step by step:

Explanation:

First, we need to isolate one variable. The easiest, in this case, is x. `x + 2y =2` becomes `x = 2 -2y`. We now have X's value and need to find Y's value.
Second, we change X in the second equation to its new value: `x - 2y=-3` becomes `2 -2y -2y = -3`.
Solving the new equation: `2 - 4y = -3`, then we pass the 2 to the other side of the equation: `-4y = -3 - 2 = -5` and `-4y = -5`, so `y = (-5)/(-4) = 5/4`.
With the exact value of Y, we now go back to the first equation: `x = 2 - 2y = 2 - 10/4 = 8/4 - 10/4 = -2/4 ", so, " x = -2/4 " or " -0,5`