# Find Three Ordered Pair Solutions 7x+6y=-5

7x+6y=-5
Solve the equation for y.
Subtract 7x from both sides of the equation.
6y=-5-7x
Divide each term by 6 and simplify.
Divide each term in 6y=-5-7x by 6.
6y6=-56+-7×6
Cancel the common factor of 6.
Cancel the common factor.
6y6=-56+-7×6
Divide y by 1.
y=-56+-7×6
y=-56+-7×6
Simplify each term.
Move the negative in front of the fraction.
y=-56+-7×6
Move the negative in front of the fraction.
y=-56-7×6
y=-56-7×6
y=-56-7×6
y=-56-7×6
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=-56-7(0)6
Simplify -56-7(0)6.
Simplify each term.
Cancel the common factor of 0 and 6.
Factor 6 out of 7(0).
y=-56-6(7⋅(0))6
Cancel the common factors.
Factor 6 out of 6.
y=-56-6(7⋅(0))6(1)
Cancel the common factor.
y=-56-6(7⋅(0))6⋅1
Rewrite the expression.
y=-56-7⋅(0)1
Divide 7⋅(0) by 1.
y=-56-(7⋅(0))
y=-56-(7⋅(0))
y=-56-(7⋅(0))
Multiply 7 by 0.
y=-56-0
Multiply -1 by 0.
y=-56+0
y=-56+0
Add -56 and 0.
y=-56
y=-56
Use the x and y values to form the ordered pair.
(0,-56)
(0,-56)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y=-56-7(1)6
Simplify -56-7(1)6.
Multiply 7 by 1.
y=-56-76
Combine the numerators over the common denominator.
y=-5-76
Subtract 7 from -5.
y=-126
Divide -12 by 6.
y=-2
y=-2
Use the x and y values to form the ordered pair.
(1,-2)
(1,-2)
Choose 2 to substitute in for x to find the ordered pair.
Remove parentheses.
y=-56-7(2)6
Simplify -56-7(2)6.
Cancel the common factor of 2 and 6.
Factor 2 out of 7(2).
y=-56-2⋅76
Cancel the common factors.
Factor 2 out of 6.
y=-56-2⋅72⋅3
Cancel the common factor.
y=-56-2⋅72⋅3
Rewrite the expression.
y=-56-73
y=-56-73
y=-56-73
To write -73 as a fraction with a common denominator, multiply by 22.
y=-56-73⋅22
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 73 and 22.
y=-56-7⋅23⋅2
Multiply 3 by 2.
y=-56-7⋅26
y=-56-7⋅26
Combine the numerators over the common denominator.
y=-5-7⋅26
Simplify the numerator.
Multiply -7 by 2.
y=-5-146
Subtract 14 from -5.
y=-196
y=-196
Move the negative in front of the fraction.
y=-196
y=-196
Use the x and y values to form the ordered pair.
(2,-196)
(2,-196)
These are three possible solutions to the equation.
(0,-56),(1,-2),(2,-196)
Find Three Ordered Pair Solutions 7x+6y=-5

Scroll to top