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3 years ago

I need to find the value of x and y please help.

Mathematics

1 answer:

Marizza181 [45]3 years ago

7 0

Answer:

x = -6.5 y= 3.75

Step-by-step explanation:

Add angle 1 and 2 since they are both alternate interior angles

6x + y - 4 = x - 9y + 1

- x + 9y - x + 9y Subtract x and add 9y to both sides

5x + 10y - 4 = 1

+ 4 + 4 Add 4 to both sides

5x + 10y = 5

-5x - 5x Subtract 5x from both sides

10y = -5x + 5 Divide both sides by 10 to solve for y

y = -1/2x + 1/2

Use this equation to solve for x in the original equations

6x + (1/2x + 1/2) -4 = x - 9(-1/2x +1) - 1

6.5x - 3.5 = x + 4.5x - 9 - 1 Solve in the parentheses

6.5x - 3.5 = 5.5x - 10 Solve the right side of the equation

+ 3.5 + 3.5 Add 3.5 to both sides

6.5x = 5.5x - 6.5

- 5.5x - 5.5x Subtract 5.5x from both sides

x = -6.5

Use the new value of x to solve for y

6(-6.5) + y -4 = -6.5 -9y + 1

-43 + y = -5.5 -9y Simplify both sides

+43 + 43 Add 43 to both sides

y = 37.5 - 9y

+ 9y + 9y Add 9y to both sides

10y = 37.5

y = 3.75

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