Question
Solve the system of equations
Solve using the substitution method
Solve using the elimination method
Solve using the Gauss-Jordan method
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(x,y)=(2,2)
Evaluate
{3x+1=4y+24x−3−3y−3=121
Solve the equation for x
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Evaluate
3x+1=4y+2
Multiply both sides of the equation by 3
3x+1×3=4y+2×3
Multiply the terms
x+1=4(y+2)×3
Evaluate
x+1=43y+6
Move the constant to the right side
x=43y+6−1
Subtract the terms
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Evaluate
43y+6−1
Reduce fractions to a common denominator
43y+6−44
Add or subtract the terms
43y+6−4
Calculate
43y+2
x=43y+2
{x=43y+24x−3−3y−3=121
Substitute the given value of x into the equation 4x−3−3y−3=121
443y+2−3−3y−3=121
Simplify
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Evaluate
443y+2−3−3y−3
Subtract the terms
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Evaluate
43y+2−3
Reduce fractions to a common denominator
43y+2−43×4
Reorder the terms
43y+2−412
Add or subtract the terms
43y+2−12
Calculate
43y−10
443y−10−3y−3
Divide the terms
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Rewrite the expression
443y−10
Multiply by the reciprocal
43y−10×41
Multiply the terms
4×43y−10
Multiply the terms
163y−10
163y−10−3y−3
163y−10−3y−3=121
Multiply both sides of the equation by LCD
(163y−10−3y−3)×48=121×48
Simplify the equation
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Evaluate
(163y−10−3y−3)×48
Apply the distributive property
163y−10×48−3y−3×48
Simplify
(3y−10)×3+(−y+3)×16
Simplify
9y−30−16y+48
Subtract the terms
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Calculate
9y−16y
Collect like terms by calculating the sum or difference of their coefficients
(9−16)y
Subtract the numbers
−7y
−7y−30+48
Add the terms
−7y+18
−7y+18=121×48
Simplify the equation
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Evaluate
121×48
Simplify
1×4
Simplify
4
−7y+18=4
Move the constant to the right side
−7y=4−18
Subtract the terms
−7y=−14
Multiply both sides of the equation by −71
−7y(−71)=−14(−71)
Multiply the numbers
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Evaluate
−14(−71)
Multiplying or dividing an even number of negative terms equals a positive
14×71
Reduce the numbers
2
−7y(−71)=2
Cancel out the greatest common factor −7
y=2
Substitute the given value of y into the equation x=43y+2
x=43×2+2
Simplify the expression
x=2
Calculate
{x=2y=2
Check the solution
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Check the solution
{32+1=42+242−3−32−3=121
Simplify
{1=1121=121
Evaluate
true
{x=2y=2
Solution
(x,y)=(2,2)
Show Solution
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