IXL - Solve a system of equations using any method (Algebra 2 practice)

Solve.

y = 9

^–7x − 9y = ^–11

(, )

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Learn with an example

question

Solve.

^–5x − 2y = ^–7

x = 1

(, )

key idea

To solve using substitution, follow these four steps:

Step 1: Isolate a variable.

Step 2: Plug the result of Step 1 into the other equation and solve for one variable.

Step 3: Plug the result of Step 2 into one of the original equations and solve for the other variable.

Step 4: State the solution.

solution

Use any method to solve the system of equations, such as substitution.

^–5x − 2y = ^–7

x = 1

Step 1: Isolate a variable.

The variable x is already isolated in the second equation.

Step 2: Plug the result of Step 1 into the other equation and solve for one variable.

Plug x = 1 into the other equation, ^–5x − 2y = ^–7, and find the value of y.

^–5x − 2y

^–7

Plug in x = 1

^–5(1) − 2y

^–7

Plug in x = 1

Multiply

^–5 − 2y

^–7

Multiply

Add 5 to both sides

^–2y

^–2

Add 5 to both sides

Divide both sides by ^–2

Step 3: Plug the result of Step 2 into one of the original equations and solve for the other variable.

The second equation already shows that x = 1, so it is not necessary to plug in and solve for x.

Step 4: State the solution.

Since x = 1 and y = 1, the solution is (1, 1).

Looking for more? Try these:

Lesson: Systems of equations

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Not feeling ready yet? These can help:

E.6Solve a system of equations using substitution

E.8Solve a system of equations using elimination

Lesson: Systems of equations

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