5x-2y=5
2x+3y=21
how do i find x&
answer

To solve systems of two equations with two variables (in this case, "x" and "y"), you choose one equation and attempt to solve for one of the variables.

For example, I will try solving for x using the first equation.
5x - 2y = 5
5x = 5 + 2y        [move 2y to other side]
x = (5 + 2y) / 5  [divide both sides by 5]
x = 1 + (.4)y      [simplified form]

Now, I plug this value into the x of the second equation to solve for y.

2x + 3y = 21
2 * (1 + (.4y)) + 3y = 21  [plug in x]
2 + (.8)y + 3y = 21          [distribute 2 to the x value we plugged in]
2 + 3.8y = 21                   [add the y terms together]
3.8y = 19                        [subtract 2]
y = 5                               [divide by 5]

Now that we know the value of y, plug it into either of the original equations to find x. I'll plug it into the first one.
5x - 2y = 5 
5x - 2(5) = 5 [plug in y]
5x - 10 = 5    [2 * 5]
5x = 15         [add 10]
x = 3             [divide by 5]

The final answer is x = 3, y = 5.

5x-2y=5 + 2x+3y=21
7x=26
1y=26.
X= 3.71
Y= 26

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