SOLUTION: Find the y-intercept of: -7y +x -1 = 5x +15

Click here to see ALL problems on Linear-equations

Question 373753: Find the y-intercept of: -7y +x -1 = 5x +15
Found 2 solutions by amoresroy, danisanders021:
Answer by amoresroy(361) (Show Source):
You can put this solution on YOUR website!
Find the y-intercept of: -7y +x -1 = 5x +15
Combine like terms
-7y = 5x-x+15+1
-7y = 4x+16
Divide by -7
y = -4x/7 -16/7
The y intercept is -16/7

Answer by danisanders021(4) (Show Source):
You can put this solution on YOUR website!
-7y+x-1=5x+15

To find the x-intercept, substitute in 0 for y and solve for x.
-7(0)+x-1=5x+15

Multiply -7 by each term inside the parentheses.
0+x-1=5x+15

Combine all similar expressions.
x-1=5x+15

Since 5x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 5x from both sides.
x-1-5x=15

Since x and -5x are like terms, add -5x to x to get -4x.
-4x-1=15

Since -1 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 1 to both sides.
-4x=1+15

Add 15 to 1 to get 16.
-4x=16

Divide each term in the equation by -4.

Simplify the left-hand side of the equation by canceling the common factors.

Simplify the right-hand side of the equation by simplifying each term.
x=-4

To find the y-intercept, substitute in 0 for x and solve for y.
-7y+(0)-1=5(0)+15

Remove the parentheses around the expression 0.
-7y+0-1=5(0)+15

Combine all similar expressions.
-7y-1=5(0)+15

Multiply 5 by each term inside the parentheses.
-7y-1=0+15

Combine all similar expressions.
-7y-1=15

Since -1 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 1 to both sides.
-7y=1+15

Add 15 to 1 to get 16.
-7y=16

Divide each term in the equation by -7.

Simplify the left-hand side of the equation by canceling the common factors.
y=-16/7