Fina wants to use substitution to solve the system of equations. Explain what she needs to do first before using substitution. Then solve the systems of equations

Step-by-step explanation:

Step 1:

She Should Solve one of the equations for either x = or y =. (x and y are the variables)

Step 2:

Then Substitute the solution from step 1 into the other equation.

Step 3:

Then Solve this new equation.

Step 4:

Then Solve for the second variable.

Example 1: Solve the following system by substitution

3x+2y=6

x+y=6

Solution of example:

Step 1: Solve one of the equations for either x = or y =. We will solve second equation for y.

x+y=6

y=6-x

Step 2: Substitute the solution from step 1 into the second equation.

3x+2y=6

3x+2 (6-x) = 6

Step 3: Solve this new equation.

3x+2 (6-x) = 6

3x+12-2x=6

collecting like terms we have;

3x-2x=6-12

x = - 6

Step 4: Solve for the second variable

y=6-x, since x = - 6

y=6 - (-6)

y = 6+6=12

The solution is: (x, y) = (-6, 12)