Question

5x-2y=5 2x+3y=21 How do I find x&y??? Please answer asap!!!!

Answer 1

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

Answer 2

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.