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Sagot :

Answer:

x=38

y=24

Step-by-step explanation:

Answer: x = 15, y = 6

Step-by-step explanation:

1). (7y - 1) + (9x + 4) = 180 (the are supplementary angles)

2). (4x-7) + (7y - 1) + 86 = 180 (sum of angles in a triangle)

7y - 1 + 9x + 4 = 180

7y + 9x + 3 = 180

9x + 7y = 177

4x - 7 + 7y - 1 + 86 = 180

4x + 7y - 8 + 86 = 180

4x + 7y + 78 = 180

4x + 7y = 102

Now solve the system of equations

subtract the two equations

9x + 7y = 177

-(4x + 7y) = -(102)

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5x = 75

x = 15

Substitute the value of x into either equation to find y

4(15) + 7y = 102

60 + 7y = 102

7y = 42

y = 6