Solve by Substitution x+xy=7 , x-2y=-5

Math
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Add to both sides of the equation.
Substitute for into then solve for .
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Replace with in the equation.
Solve the equation for .
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Simplify .
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Simplify each term.
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Apply the distributive property.
Multiply by by adding the exponents.
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Move .
Multiply by .
Subtract from .
Move all terms to the left side of the equation and simplify.
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Move to the left side of the equation by subtracting it from both sides.
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 .
Add and .
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 .
Add and .
Multiply by .
Change the to .
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 .
Add and .
Multiply by .
Change the to .
The final answer is the combination of both solutions.
Substitute for into then solve for .
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Replace with in the equation.
Solve the equation for .
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Simplify .
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Combine and .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
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Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Add and .
Multiply both sides of the equation by .
Simplify both sides of the equation.
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Simplify .
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify .
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Multiply by .
Multiply and .
Expand the denominator using the FOIL method.
Simplify.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Substitute for into then solve for .
Tap for more steps…
Replace with in the equation.
Solve the equation for .
Tap for more steps…
Simplify .
Tap for more steps…
Combine and .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Tap for more steps…
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Add and .
Multiply both sides of the equation by .
Simplify both sides of the equation.
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Simplify .
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Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify .
Tap for more steps…
Multiply by .
Multiply and .
Expand the denominator using the FOIL method.
Simplify.
Cancel the common factor of .
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
The solution to the system is the complete set of ordered pairs that are valid solutions.
The result can be shown in multiple forms.
Point Form:
Equation Form:
Solve by Substitution x+xy=7 , x-2y=-5

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