2x-y=-5 4x+y=2
2x + y = 5 2y + 4x = 10 2y + 4x = 10 is same with 4x + 2y = 10 because the variable value and signs are not changed. 4x + 2y = 10 can be simplified into 2x + y = 5, which is the answer
how do you solve it
Multiply the 2x-y=-5 equation by -2 on both sides, then add the resulting equation to the 4x+y=2 equation. You'll get a new equation which you can solve for y. Then take that value of y, plug it into either of the original equations, and find the value of x.
That method is called elimination. You could also do it by substitution. Solve either equation for one of the variables in terms of the other. Next, plug that into the other equation. For example, your first equation is \[2x-y = -5\]That can be rearranged to \[2x+5 = y\]Now take the other equation and replace y wherever you see it with 2x+5. Solve for x. Use the value you get to find y.
Elimination method would be good but you can also use substitution
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