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1
2.2.2: Solving Systems of Linear Equations
Benito is a waiter. He earns a base salary of
$1,500 a month, plus 20% of the price of the meals
he serves.
1. Write an equation to predict the amount of money
Benito will earn if he serves $350 in meals.
2. Benito earned $1,650 in one month. What was the
total price of the meals that Benito served?
3. Create a graph to show the possible amount of
money Benito could earn each month.
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2.2.2: Solving Systems of Linear Equations
1. Write an equation to predict the amount of money
Benito will earn if he serves $350 in meals.
• Translate the verbal description of Benito’s pay
into an algebraic equation.
• Let x represent the total cost of the meals Benito
serves.
• Let y represent the amount of money Benito
earns.
• Benito earns a base salary of $1.500, plus 20% of
the price of the meals.
• 20% of the price of the meals is 0.20x.
y = 1500 + 0.20x
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2.2.2: Solving Systems of Linear Equations
•
•
Benito served $350 in food.
Substitute $350 for x and solve the equation for y,
the amount of money Benito will earn.
y = 1500 + 0.20x
Original equation
y = 1500 + 0.20(350) Substitute 350 for x.
y = 1500 + 70
Simplify.
y = 1570
• Benito will earn $1,570 if he serves $350 worth of
food.
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2.2.2: Solving Systems of Linear Equations
2. Benito earned $1,650 in one month. What was the
total price of the meals that Benito served?
• Use your equation from part 1 to find the price of
the meals Benito served.
• Substitute $1,650 for y, the total amount of money
Benito earned.
1650 = 1500 + 0.20x
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2.2.2: Solving Systems of Linear Equations
• Solve for x.
1650 = 1500 + 0.20x Original equation
150 = 0.20x
Subtract 1,500 from both
sides.
750 = x
Divide both sides by 0.20.
• Benito served $750 worth of meals.
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2.2.2: Solving Systems of Linear Equations
3. Create a graph to show the possible amount of
money Benito could earn each month.
• The equation y = 1500 + 0.20x can be graphed
using slope-intercept form.
• The slope of the equation is 0.20.
• The y-intercept is 1,500.
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2.2.2: Solving Systems of Linear Equations
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2.2.2: Solving Systems of Linear Equations