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31 January, 23:43

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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  1. 1 February, 02:18
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    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)
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