Solve the system of equations by substitution. x + y = 27 y = 8x

x = 0, y = 0

Step-by-step explanation:

x + y = 27y = 8x

Consider the first equation. Subtract 27y from both sides.

x + y = -27y = 0

Combine y and -27y to get -26y

x - 26x = 0

Consider the second equation. Subtract 8x from both sides.

27y - 8x = 0

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for the variable in the other equation.

x - 26y = 0, -8x + 27y = 0

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x - 26y = 0

Add 26y to both sides of the equation.

x = 26y

Substitute 26y for x in the order equation,

-8x + 27y = 0.

-8 x 26y + 27y = 0

Multiply -8 times 26y

-208y + 27y = 0

Add -208y to 27y

-181y = 0

Divide both sides by -181.

y = 0

Substitute 0 for y in x = 26y. Because the resulting equation contains only one variable, you can solve for x directly.

x = 0

1 1/4 hours

step-by-step explanation:

2/4 + 2/4 + 1/4 = 5/4 or 1 1/4

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