How do you solve substitution algebraically?

How do you solve substitution algebraically?

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.

How do you solve systems of equations by elimination and substitution?

To Solve a System of Equations by Elimination

1. Write both equations in standard form.
2. Make the coefficients of one variable opposites.
3. Add the equations resulting from Step 2 to eliminate one variable.
4. Solve for the remaining variable.
5. Substitute the solution from Step 4 into one of the original equations.

What is the first step to solve the following system of equations using substitution?

Step 1 : First, solve one linear equation for y in terms of x . Step 2 : Then substitute that expression for y in the other linear equation. You’ll get an equation in x . Step 3 : Solve this, and you have the x -coordinate of the intersection.

How do you use substitution to solve a system of linear equations?

1. Step 1 : First, solve one linear equation for y in terms of x .
2. Step 2 : Then substitute that expression for y in the other linear equation.
3. Step 3 : Solve this, and you have the x -coordinate of the intersection.
4. Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

What are the correct order of steps to solve the following system by substitution?

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

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

What is the substitution method for solving a system of equations?

The method of solving “by substitution” works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, “substituting” for the chosen variable and solving for the other. Then you back-solve for the first variable.

What are the 5 steps in substitution process?

Steps to Solving by Substitution:

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

How many equations are in a 3×3 systems of equations?

three equations
Systems of equations that are 3×3 consist of three equations and three variables. The system is solved when values for each variable have been found. The solution can be checked by substituting the values for the variables in the equations. If the equations are all true, then the solutions are correct.