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Use elimination to solve the system of equations. Enter your answers in the boxes.3x – 2y = 24x + 2y = 48x = ________ ; y =_________

User Rhughes
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Elimination method: You either add or subtract the equations to get an equation in one variable.

When the coefficients of one variable are opposites you add the equations to elimante a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

In this case:


\begin{gathered} 3x-2y=24\text{ } \\ x+2y=48 \end{gathered}

We can add both equations, we get:


\begin{gathered} 4x=72 \\ x=(72)/(4) \\ x=18 \end{gathered}

Since we have the x-value, we can substitute it in either of the two original equations to get y-value:


\begin{gathered} 3x-2y=24 \\ 3(18)-2y=24 \\ 54-24=2y \\ 30=2y \\ y=(30)/(2) \\ y=15 \end{gathered}

Solution for the sytem of equations:

x= 18; y=15

User Yoosha
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