Word problems

Japanese school year: Junior high 2

What you learn

You will learn how to identify two unknowns, set up a system of linear equations from a problem, and interpret the solutions. This approach is widely applied to solve scenarios involving prices, travel times, or mixture quantities. Solid proficiency in elimination and substitution methods is required before starting.

Go to practice

Key points

In word problems for systems of equations, represent the two unknown quantities using variables $x$ and $y$ . Clearly define what each represents along with its units before setting up the equations.

Find two equal relationships from the problem and write two equations using $x$ and $y$ . Combining them produces the system of equations to solve.

Check whether the calculated values of $x$ and $y$ make sense in the context of the problem. Ensure that counts are positive integers and that prices or weights are not negative.

Choose a set to practice.

Practice 1Coming soon