Question

# In Exercise 3e, you graphed an inequality involving lines with the following equations.$2x+3y=12$$2x+y=8$Use algebra to find the intersection of the two lines. Then check your result by testing the values of $x$ and $y$ in each equation.

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To solve systems of equations by substitution, follow these steps:

1. Express one of the equations in terms of a variable in the equation.
1. Substitute this in the other equation, and solve for the other variable.
1. Now that you have a value for one variable, substitute this in any equation and solve for the other variable.
1. Check solution by substituting the ordered pair in both equations. It must satisfy both equations for it to be considered a solution.

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