Trigonometry Examples

Solve the System of @WORD 7x+3/4=13 , 5/2x-1/3=-11/2
,
Step 1
Solve for in .
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Step 1.1
Move all terms not containing to the right side of the equation.
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Step 1.1.1
Subtract from both sides of the equation.
Step 1.1.2
To write as a fraction with a common denominator, multiply by .
Step 1.1.3
Combine and .
Step 1.1.4
Combine the numerators over the common denominator.
Step 1.1.5
Simplify the numerator.
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Step 1.1.5.1
Multiply by .
Step 1.1.5.2
Subtract from .
Step 1.2
Divide each term in by and simplify.
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Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
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Step 1.2.2.1
Cancel the common factor of .
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Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
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Step 1.2.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 1.2.3.2
Cancel the common factor of .
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Step 1.2.3.2.1
Factor out of .
Step 1.2.3.2.2
Cancel the common factor.
Step 1.2.3.2.3
Rewrite the expression.
Step 2
Replace all occurrences of with in each equation.
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Step 2.1
Replace all occurrences of in with .
Step 2.2
Simplify the left side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Multiply .
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Step 2.2.1.1.1
Multiply by .
Step 2.2.1.1.2
Multiply by .
Step 2.2.1.1.3
Multiply by .
Step 2.2.1.2
To write as a fraction with a common denominator, multiply by .
Step 2.2.1.3
To write as a fraction with a common denominator, multiply by .
Step 2.2.1.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.2.1.4.1
Multiply by .
Step 2.2.1.4.2
Multiply by .
Step 2.2.1.4.3
Multiply by .
Step 2.2.1.4.4
Multiply by .
Step 2.2.1.5
Combine the numerators over the common denominator.
Step 2.2.1.6
Simplify the numerator.
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Step 2.2.1.6.1
Multiply by .
Step 2.2.1.6.2
Subtract from .
Step 3
Since is not true, there is no solution.
No solution
Step 4