# How do you solve a system of equations with two variables using substitution?

## How do you solve a system of equations with two variables using substitution?

To solve systems using substitution, follow this procedure:

- Select one equation and solve it for one of its variables.
- In the other equation, substitute for the variable just solved.
- Solve the new equation.
- Substitute the value found into any equation involving both variables and solve for the other variable.

## What two variables do we use in systems of equations?

In order for a linear system to have a unique solution, there must be at least as many equations as there are variables. The solution to a system of linear equations in two variables is any ordered pair (x,y) that satisfies each equation independently. Graphically, solutions are points at which the lines intersect.

**How do you solve a system of equations using substitution?**

Steps for Using the Substitution Method in order to Solve Systems of Equations

- Solve 1 equation for 1 variable. ( Put in y = or x = form)
- Substitute this expression into the other equation and solve for the missing variable.
- Substitute your answer into the first equation and solve.
- Check the solution.

### How to do back substitution in a system of equations?

Solve for a variable in either one of the equations. 2. Substitute in the other equation for the variable isolated. 3. Solve this equation. 4. Perform back substitution to solve for the other variable. 5. Check the solution. Solve using the substitution method. If playback doesn’t begin shortly, try restarting your device.

### How do you substitute a variable in an equation?

Select one equation and solve it for one of its variables. In the other equation, substitute for the variable just solved. Solve the new equation. Substitute the value found into any equation involving both variables and solve for the other variable. Check the solution in both original equations.

**How to solve a linear equation with substitution?**

To solve systems using substitution, follow this procedure: Select one equation and solve it for one of its variables. In the other equation, substitute fo Linear Equations: Solutions Using Substitution with Two Variables

## How is a system of equations solved type 2?

The system is solved by substituting the equation with the isolated term into the other equation: Type 2: One variable can be easily isolated. The systems are solved by solving for one variable in one of the equations, then substituting that equation into the second equation.