Find Three Ordered Pair Solutions 7x-5y=105

Math
7x-5y=105
Solve the equation for y.
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Subtract 7x from both sides of the equation.
-5y=105-7x
Divide each term by -5 and simplify.
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Divide each term in -5y=105-7x by -5.
-5y-5=105-5+-7x-5
Cancel the common factor of -5.
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Cancel the common factor.
-5y-5=105-5+-7x-5
Divide y by 1.
y=105-5+-7x-5
y=105-5+-7x-5
Simplify each term.
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Divide 105 by -5.
y=-21+-7x-5
Dividing two negative values results in a positive value.
y=-21+7×5
y=-21+7×5
y=-21+7×5
y=-21+7×5
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)5
Simplify -21+7(0)5.
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Multiply 7 by 0.
y=-21+05
Divide 0 by 5.
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)5
Simplify -21+7(1)5.
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Multiply 7 by 1.
y=-21+75
To write -21 as a fraction with a common denominator, multiply by 55.
y=-21⋅55+75
Combine -21 and 55.
y=-21⋅55+75
Combine the numerators over the common denominator.
y=-21⋅5+75
Simplify the numerator.
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Multiply -21 by 5.
y=-105+75
Add -105 and 7.
y=-985
y=-985
Move the negative in front of the fraction.
y=-985
y=-985
Use the x and y values to form the ordered pair.
(1,-985)
(1,-985)
Choose 2 to substitute in for x to find the ordered pair.
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Remove parentheses.
y=-21+7(2)5
Simplify -21+7(2)5.
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Multiply 7 by 2.
y=-21+145
To write -21 as a fraction with a common denominator, multiply by 55.
y=-21⋅55+145
Combine -21 and 55.
y=-21⋅55+145
Combine the numerators over the common denominator.
y=-21⋅5+145
Simplify the numerator.
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Multiply -21 by 5.
y=-105+145
Add -105 and 14.
y=-915
y=-915
Move the negative in front of the fraction.
y=-915
y=-915
Use the x and y values to form the ordered pair.
(2,-915)
(2,-915)
These are three possible solutions to the equation.
(0,-21),(1,-985),(2,-915)
Find Three Ordered Pair Solutions 7x-5y=105

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