Substitute 84.91 – 2y for x in the other equation. How do you decide which equation and which variable to choose? You can use either equation to solve for either variable. Solve one of the equations for one variable. There is no number of hours for which Seiko’s is the same at both studios.Įxample 3 : Solve the system –2y – 3x = –84.91 and 3x + 6y = 254.73 by using Substitution. The result is not a true statement, so the system has no solution. Use substitution to solve one of the equations for one variable. Let x equal the number of hours and y equal Seiko’s cos Write a system of linear equations to represent the situation. How can Gemma determine the number of each type of ticket that was sold on Saturday? On Saturday, she sells 800 tickets and collects a total of $7,680. Use Substitution to Solve a System of Equations with One Solution: Check that the ordered pair is a solution to both original equations.Substitute the solution in Step 3 into one of the original equations to find the other variable.Substitute the expression from Step 1 into the other equation.Solve one of the equations for either variable.SOLVE A SYSTEM OF EQUATIONS BY SUBSTITUTION. There are four ways to solve systems of linear equations: The solutions must satisfy each equation in the system.Ī solution to a system of equations is an ordered pair that satisfy all the equations in the system. Systems of Equations: A set of equations is called a system of equations. So, we can choose another way to solve the system of equations. Sometimes the graph cannot determine the exact number of miles for which the cost of the taxi ride will be the same. Can you use the graph to determine the exact number of miles for which the cost of the taxi ride will be the same? Answer: Jackson can choose either Speedy cabs or On time cabs.īe Precise. Which taxi service company should Jackson call? Explain your reasoning.So, the cost is not dependent on the slope.
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