Find Three Ordered Pair Solutions -7x+3y=63

Math
-7x+3y=63
Solve the equation for y.
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Add 7x to both sides of the equation.
3y=63+7x
Divide each term by 3 and simplify.
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Divide each term in 3y=63+7x by 3.
3y3=633+7×3
Cancel the common factor of 3.
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Cancel the common factor.
3y3=633+7×3
Divide y by 1.
y=633+7×3
y=633+7×3
Divide 63 by 3.
y=21+7×3
y=21+7×3
y=21+7×3
Choose any value for x that is in the domain to plug into the equation.
Choose 0 to substitute in for x to find the ordered pair.
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Remove parentheses.
y=21+7(0)3
Simplify 21+7(0)3.
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Multiply 7 by 0.
y=21+03
Divide 0 by 3.
y=21+0
Add 21 and 0.
y=21
y=21
Use the x and y values to form the ordered pair.
(0,21)
(0,21)
Choose 1 to substitute in for x to find the ordered pair.
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Remove parentheses.
y=21+7(1)3
Simplify 21+7(1)3.
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Multiply 7 by 1.
y=21+73
To write 21 as a fraction with a common denominator, multiply by 33.
y=21⋅33+73
Combine 21 and 33.
y=21⋅33+73
Combine the numerators over the common denominator.
y=21⋅3+73
Simplify the numerator.
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Multiply 21 by 3.
y=63+73
Add 63 and 7.
y=703
y=703
y=703
Use the x and y values to form the ordered pair.
(1,703)
(1,703)
Choose 2 to substitute in for x to find the ordered pair.
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Remove parentheses.
y=21+7(2)3
Simplify 21+7(2)3.
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Multiply 7 by 2.
y=21+143
To write 21 as a fraction with a common denominator, multiply by 33.
y=21⋅33+143
Combine 21 and 33.
y=21⋅33+143
Combine the numerators over the common denominator.
y=21⋅3+143
Simplify the numerator.
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Multiply 21 by 3.
y=63+143
Add 63 and 14.
y=773
y=773
y=773
Use the x and y values to form the ordered pair.
(2,773)
(2,773)
These are three possible solutions to the equation.
(0,21),(1,703),(2,773)
Find Three Ordered Pair Solutions -7x+3y=63

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