7x-5y=105

Subtract 7x from both sides of the equation.

-5y=105-7x

Divide each term by -5 and simplify.

Divide each term in -5y=105-7x by -5.

-5y-5=105-5+-7x-5

Cancel the common factor of -5.

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.

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.

Remove parentheses.

y=-21+7(0)5

Simplify -21+7(0)5.

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)

Remove parentheses.

y=-21+7(1)5

Simplify -21+7(1)5.

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.

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)

Remove parentheses.

y=-21+7(2)5

Simplify -21+7(2)5.

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.

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