3x+5y=15

Subtract 3x from both sides of the equation.

5y=15-3x

Divide each term by 5 and simplify.

Divide each term in 5y=15-3x by 5.

5y5=155+-3×5

Cancel the common factor of 5.

Cancel the common factor.

5y5=155+-3×5

Divide y by 1.

y=155+-3×5

y=155+-3×5

Simplify each term.

Divide 15 by 5.

y=3+-3×5

Move the negative in front of the fraction.

y=3-3×5

y=3-3×5

y=3-3×5

y=3-3×5

Choose any value for x that is in the domain to plug into the equation.

Remove parentheses.

y=3-3(0)5

Simplify 3-3(0)5.

Simplify each term.

Cancel the common factor of 0 and 5.

Factor 5 out of 3(0).

y=3-5(3⋅(0))5

Cancel the common factors.

Factor 5 out of 5.

y=3-5(3⋅(0))5(1)

Cancel the common factor.

y=3-5(3⋅(0))5⋅1

Rewrite the expression.

y=3-3⋅(0)1

Divide 3⋅(0) by 1.

y=3-(3⋅(0))

y=3-(3⋅(0))

y=3-(3⋅(0))

Multiply 3 by 0.

y=3-0

Multiply -1 by 0.

y=3+0

y=3+0

Add 3 and 0.

y=3

y=3

Use the x and y values to form the ordered pair.

(0,3)

(0,3)

Remove parentheses.

y=3-3(1)5

Simplify 3-3(1)5.

Multiply 3 by 1.

y=3-35

To write 3 as a fraction with a common denominator, multiply by 55.

y=3⋅55-35

Combine 3 and 55.

y=3⋅55-35

Combine the numerators over the common denominator.

y=3⋅5-35

Simplify the numerator.

Multiply 3 by 5.

y=15-35

Subtract 3 from 15.

y=125

y=125

y=125

Use the x and y values to form the ordered pair.

(1,125)

(1,125)

Remove parentheses.

y=3-3(2)5

Simplify 3-3(2)5.

Multiply 3 by 2.

y=3-65

To write 3 as a fraction with a common denominator, multiply by 55.

y=3⋅55-65

Combine 3 and 55.

y=3⋅55-65

Combine the numerators over the common denominator.

y=3⋅5-65

Simplify the numerator.

Multiply 3 by 5.

y=15-65

Subtract 6 from 15.

y=95

y=95

y=95

Use the x and y values to form the ordered pair.

(2,95)

(2,95)

These are three possible solutions to the equation.

(0,3),(1,125),(2,95)

Find Three Ordered Pair Solutions 3x+5y=15