Madao Factory

System of Equations (Word Problems)

Building Equations from Text

The key to solving word problems is replacing the unknown values with 'x' and 'y', and creating two equations based on the conditions given.

{
x + y = 52x - y = 1

Example: Shopping

  • ・ 2 apples and 3 oranges cost 400 yen.
  • ・ 4 apples and 1 orange cost 500 yen.

3 Steps to Solve

1. Define x and y

Assign variables to the unknown values the question is asking for.

2. Create 2 Equations

Translate the relationships described in the text into math formulas.

3. Solve the System

Use substitution or elimination methods to find the values of x and y.

Equation Builder Simulator

Read the problem, define x and y, and complete the equations.

[Problem] Admission to a park is 4000 yen for 2 adults and 3 children, and 3500 yen for 1 adult and 4 children.

Step 1: Define x and y

x =
y =

Step 2: Build the equations

Eq 1 (2 Adults, 3 Children):x +y =
Eq 2 (1 Adult, 4 Children):x +y =

Quick Drill

Choose the correct equation for the sentence!

Equation for 'x apples and y oranges make 5 in total'?
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