Solve by Substitution y=x^2+12x+30 , 8x-y=10

Math
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Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify .
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Simplify each term.
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Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Subtract from .
Solve for in the first equation.
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Move all terms to the left side of the equation and simplify.
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Subtract from both sides of the equation.
Subtract from .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Rewrite as .
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Rewrite as .
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Pull terms out from under the radical, assuming positive real numbers.
Move to the left of .
Multiply by .
Simplify .
Move the negative one from the denominator of .
Rewrite as .
Simplify the expression to solve for the portion of the .
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Rewrite as .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Move to the left of .
Multiply by .
Simplify .
Move the negative one from the denominator of .
Rewrite as .
Change the to .
Apply the distributive property.
Multiply by .
Multiply by .
Simplify the expression to solve for the portion of the .
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Rewrite as .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Move to the left of .
Multiply by .
Simplify .
Move the negative one from the denominator of .
Rewrite as .
Change the to .
Apply the distributive property.
Multiply by .
Multiply by .
The final answer is the combination of both solutions.
Replace all occurrences of with in each equation.
Tap for more steps…
Replace all occurrences of in with .
Simplify .
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Simplify each term.
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Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Multiply by .
Multiply by .
Multiply .
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Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Multiply by .
Subtract from .
Add and .
Apply the distributive property.
Multiply by .
Multiply by .
Simplify by adding terms.
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Subtract from .
Add and .
Subtract from .
Replace all occurrences of with in each equation.
Tap for more steps…
Replace all occurrences of in with .
Simplify .
Tap for more steps…
Simplify each term.
Tap for more steps…
Rewrite as .
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Multiply .
Tap for more steps…
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Multiply by .
Subtract from .
Subtract from .
Apply the distributive property.
Multiply by .
Multiply by .
Simplify by adding terms.
Tap for more steps…
Subtract from .
Add and .
Add and .
List all of the solutions.
Solve by Substitution y=x^2+12x+30 , 8x-y=10

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