Pre-Algebra Examples

Solve the System of @WORD y=4/3x , y=5/4x
,
Step 1
Eliminate the equal sides of each equation and combine.
Step 2
Solve for .
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Step 2.1
Simplify .
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Step 2.1.1
Rewrite.
Step 2.1.2
Simplify by adding zeros.
Step 2.1.3
Combine and .
Step 2.2
Combine and .
Step 2.3
Move all terms containing to the left side of the equation.
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Step 2.3.1
Subtract from both sides of the equation.
Step 2.3.2
To write as a fraction with a common denominator, multiply by .
Step 2.3.3
To write as a fraction with a common denominator, multiply by .
Step 2.3.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.3.4.1
Multiply by .
Step 2.3.4.2
Multiply by .
Step 2.3.4.3
Multiply by .
Step 2.3.4.4
Multiply by .
Step 2.3.5
Combine the numerators over the common denominator.
Step 2.3.6
Simplify the numerator.
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Step 2.3.6.1
Factor out of .
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Step 2.3.6.1.1
Factor out of .
Step 2.3.6.1.2
Factor out of .
Step 2.3.6.1.3
Factor out of .
Step 2.3.6.2
Multiply by .
Step 2.3.6.3
Multiply by .
Step 2.3.6.4
Subtract from .
Step 2.3.7
Multiply by .
Step 2.4
Set the numerator equal to zero.
Step 3
Evaluate when .
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Step 3.1
Substitute for .
Step 3.2
Substitute for in and solve for .
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Step 3.2.1
Multiply by .
Step 3.2.2
Multiply by .
Step 4
The solution to the system is the complete set of ordered pairs that are valid solutions.
Step 5
The result can be shown in multiple forms.
Point Form:
Equation Form:
Step 6