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

Question

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

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2 months 2021-09-18T10:04:58+00:00 1 Answer 0 views 0

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)