2x+5y-20=0

Move all terms not containing y to the right side of the equation.

Subtract 2x from both sides of the equation.

5y-20=-2x

Add 20 to both sides of the equation.

5y=-2x+20

5y=-2x+20

Divide each term by 5 and simplify.

Divide each term in 5y=-2x+20 by 5.

5y5=-2×5+205

Cancel the common factor of 5.

Cancel the common factor.

5y5=-2×5+205

Divide y by 1.

y=-2×5+205

y=-2×5+205

Simplify each term.

Move the negative in front of the fraction.

y=-(2)x5+205

Divide 20 by 5.

y=-2×5+4

y=-2×5+4

y=-2×5+4

y=-2×5+4

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

Remove parentheses.

y=-2(0)5+4

Simplify -2(0)5+4.

Simplify each term.

Cancel the common factor of 0 and 5.

Factor 5 out of 2(0).

y=-5(2⋅(0))5+4

Cancel the common factors.

Factor 5 out of 5.

y=-5(2⋅(0))5(1)+4

Cancel the common factor.

y=-5(2⋅(0))5⋅1+4

Rewrite the expression.

y=-2⋅(0)1+4

Divide 2⋅(0) by 1.

y=-(2⋅(0))+4

y=-(2⋅(0))+4

y=-(2⋅(0))+4

Multiply 2 by 0.

y=-0+4

Multiply -1 by 0.

y=0+4

y=0+4

Add 0 and 4.

y=4

y=4

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

(0,4)

(0,4)

Remove parentheses.

y=-2(1)5+4

Simplify -2(1)5+4.

Multiply 2 by 1.

y=-25+4

To write 4 as a fraction with a common denominator, multiply by 55.

y=-25+4⋅55

Combine 4 and 55.

y=-25+4⋅55

Combine the numerators over the common denominator.

y=-2+4⋅55

Simplify the numerator.

Multiply 4 by 5.

y=-2+205

Add -2 and 20.

y=185

y=185

y=185

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

(1,185)

(1,185)

Remove parentheses.

y=-2(2)5+4

Simplify -2(2)5+4.

Multiply 2 by 2.

y=-45+4

To write 4 as a fraction with a common denominator, multiply by 55.

y=-45+4⋅55

Combine 4 and 55.

y=-45+4⋅55

Combine the numerators over the common denominator.

y=-4+4⋅55

Simplify the numerator.

Multiply 4 by 5.

y=-4+205

Add -4 and 20.

y=165

y=165

y=165

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

(2,165)

(2,165)

These are three possible solutions to the equation.

(0,4),(1,185),(2,165)

Find Three Ordered Pair Solutions 2x+5y-20=0