Question

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

Answer 1

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