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

1 Answer
Júlio B.
Dec 28, 2015

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=54.
With the exact value of Y, we now go back to the first equation: x=2−2y=2−104=84−104=−24, so, x=−24 or −0,5

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