# How do you solve systems by substitution?

## How do you solve systems by substitution?

Solve a system of equations by substitution

1. Solve one of the equations for either variable.
2. Substitute the expression from Step 1 into the other equation.
3. Solve the resulting equation.
4. Substitute the solution in Step 3 into one of the original equations to find the other variable.
5. Write the solution as an ordered pair.

## What are the 5 steps in solving equations by substitution?

Solving Systems of Equations By Substitution:

1. Step 1: Rearrange one of the equations to get ‘y’ by itself.
2. Step 2: Substitute the rearranged equation into its partner.
3. Step 3: Solve for x.
4. Step 4: Substitute the solution for x into either of the initially given equations to find y.
5. Step 5: Write final answer out as a point.

How do you do substitution step by step?

The method of substitution involves three steps:

1. Solve one equation for one of the variables.
2. Substitute (plug-in) this expression into the other equation and solve.
3. Resubstitute the value into the original equation to find the corresponding variable.

### What is the first step in solving a system by substitution?

Steps to Solving by Substitution:

• Step One→ Solve one equation for either x or y.
• Step Two→ Substitute the expression from step one into the 2nd equation.
• Step Three→ Solve the second equation for the given variable.
• Step Four→ Plug you solution back into the first equation.
• Step Five→ Write your solution as a point.

### How do you solve a system of three equations using substitution?

The substitution method involves solving for one of the variables in one of the equations, and plugging that into the rest of the equations to reduce the system. Repeat until there is a single equation left, and then using this equation, go backwards to solve the previous equations.

What is the fastest way to solve a system of equations?

There are three methods used to solve systems of equations: graphing, substitution, and elimination. To solve a system by graphing, you simply graph the given equations and find the point(s) where they all intersect. The coordinate of this point will give you the values of the variables that you are solving for.

## Which method is best applied to solve the system?

The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices. Substitution and elimination are simple methods that can effectively solve most systems of two equations in a few straightforward steps.

## How do you solve each system using substitution?

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.
• How to solve systems of equations by substitution?

The first equation x+y=7

• Then a comma,
• Then the second equation x+2y=11
• ### How to solve a system using substitution?

Solving a system of equations in two variables using substitution is easy and quick! To solve by substitution, you need to follow a three-step process that involves isolation of a variable, substitution of the expression, and re-substitution of the value.

### Which equation is part of solving the system by substitution?

Solving Systems of Equations by Substitution Date_____ Period____ Solve each system by substitution. 1) y = 6x − 11 −2x − 3y = −7 2) 2x − 3y = −1 y = x − 1 3) y = −3x + 5 5x − 4y = −3 4) −3x − 3y = 3 y = −5x − 17 5) y = −2 4x − 3y = 18 6) y = 5x − 7 −3x − 2y = −12 7) −4x + y = 6 −5x − y = 21 8) −7x − 2y = −13