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?
As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.
Plus, get practice tests, quizzes, and personalized coaching to help you succeed.
We'll need to use different variables to represent each unknown.
Let's use x for the weekday rate and y for the weekend rate.
We can use c to represent the price for a box of cookies and p to represent the price for a bag of popcorn.
Next we can use the information in the word problem to set up equations that will help us find the values of the variables.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.We can represent this with the equation 22x y = 232.Using the pay for the other cousin, we get the equation 15x 10y = 270.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 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.Since there are two equations with the same two variables, we can set them up as a system of equations and solve them simultaneously.The system of equations can be solved using the substitution method, which involves using an expression from one equation to substitute for one of the variables in the other equation.
Comments Solving Systems Word Problems
How Do You Solve a Word Problem Using Two Equations.
Sometimes word problems describe a system of equations, two equations each with two unknowns. Solving word problems like this one aren't so bad if you.…
System of linear equations word problems
Simultaneous Linear Equations. System of linear equations word problems. Solving systems of equations graphically. Independent equations, inconsistent.…
System of Equations Word Problem Examples - Video.
System of 3 Equations Word Problem Examples. How to Solve a System of Equations by Substitution. Linear and Nonlinear Functions. How to Solve Multi-Step.…
Word Problems Involving Systems of Linear Equations
You can solve a system of equations in various ways. In many of the. I'll often arrange the equations for word problems in a table, as I did above. Roughly 1.…
Writing Systems of Linear Equations from Word Problems
Some word problems require the use of systems of linear equations. Here are clues to. Use substitution, elimination or graphing method to solve the problem.…
Linear Systems Word Problems
Linear Systems Word Problems. Now that we have techniques for solving systems we can set up our word problems with two variables. If we use two variables.…
Solving systems of equations word problems worksheet For all.
Period______. Solving systems of equations word problems worksheet. For all problems, define variables, write the system of equations and solve for all.…
Solve a system of equations using elimination word problems
Improve your math knowledge with free questions in "Solve a system of equations using elimination word problems" and thousands of other math skills.…