9514 1404 393
Answer:
x = 2, y = 10, sides = 15
Explanation:
The hash marks tell you all of the sides are the same length. You can use this fact to relate the side length expressions to each other to solve for the variables.
We see that x appears in the left and right expressions only. So we can find x by setting those expressions equal to each other.
8x -1 = 4x +7
4x = 8 . . . . . . . . . . . . . add 1-4x to both sides of the equation
x = 2 . . . . . . . . . . . . . . divide by 4; the value of x
8x -1 = 8(2) -1 = 15 . . . the length of the sides
Now, we can find y using an expression that involves y. The top expression is the simplest:
y +5 = 15 . . . . . the length of the side we just found
y = 10 . . . . . . . subtract 5
The variable values are ...
x = 2
y = 10
The side lengths are 15.