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Nataly_w [17]
3 years ago
12

Help!!! I need to find the x and y values

Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

The solution is that x = 26 and y = 9.

In order to find these, we need to note that since the two angles involving x's make a straight line, then they must equal 180 degrees. So we can add them together and set them equal to solve for x.

5x - 17 + 3x - 11 = 180 ----> combine like terms

8x - 28 = 180 ----> add 28 to both sides

8x = 208 -----> divide by 8

x = 26

Now that we have the value of x, we can find the value of the 3x - 11 term. That along with the right angle and the 2y + 5 angle combine to make another straight line. So we can solve by setting that equal to 180 as well.

3x - 11 + 90 + 2y + 5 = 180 ------> Combine like terms

3x + 2y + 84 = 180 -----> Put 26 in for x.

3(26) + 2y + 84 = 180 -----> Multiply

78 + 2y + 84 = 180 ------> Combine like terms again

2y + 162 = 180 ------> Subtract 162 from both sides

2y = 18 -----> Divide by 2

y = 9

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