Answer:
x=8, y=-1
Step-by-step explanation:
The figure is said to be a rectangle, which means opposite sides have to be equal in length. From this, we can write a system of equations:
5x-2y=42
2x+3y=13
There are a number of ways to solve this but I'll go with elimination--that means you need to try to remove one variable first by manipulating the equations and solve for the other variable. Then you use the solution to solve for the variable you initially removed. That sounds confusing, but let me show you how to do it.
If you multiply the first equation by 3 and the second equation by 2, you'll have have:
15x-6y=126
4x+6y=26
Now, we can add these two equations. The y will cancel out, so we can easily solve for x.
19x=152
x=8
Use this value of x to substitute back into either of the original equations to find y.
5(8)-2y=42
40-2y=42
-2y=2
y=-1
