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

2x+5y-20=0
Solve the equation for y.
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.
Choose 0 to substitute in for x to find the ordered pair.
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)
Choose 1 to substitute in for x to find the ordered pair.
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)
Choose 2 to substitute in for x to find the ordered pair.
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

Scroll to top