Solving Systems Of Equations By Substitution Word Problems

We will then use substitution and elimination strategies to solve them.

My younger cousins worked part-time jobs over the summer to save money for a car.

In this lesson, you'll use systems of equations and solve word problems that have more than one unknown value.

Systems of equations have two or more equations with two or more variables that are solved simultaneously.

The first equation can be solved for y by subtracting 22x from both sides of the equation. Since y is equal to the expression 232 - 22x, we can substitute the expression for y in the second equation.

Thus, the equation becomes 15x 10 (232 - 22x) = 270.Try it risk-free Most word problems require that you find the value of one variable.But, what if there is more than one unknown variable?The goal is to find a value for each variable that satisfies the equations.In the following examples, we'll create systems of equations based on the word problems.We can represent this with the equation 22x y = 232.Using the pay for the other cousin, we get the equation 15x 10y = 270.The first day, the soccer team sold 44 bags of popcorn and 32 boxes of cookies for a total of .We can represent this with the equation 44p 32c = 97.Her sister earned 0 by working 15 hours during the week and 10 hours on the weekend.What was the hourly pay rate for working weekdays and weekends?

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