Free Linear Equations Practice: Elimination Challenge

Pair of Linear Equations in Two VariablesStep 1 of 11

Question

Solve

2x+3y=7

and

3x+2y=8

by elimination.

2x+3y=7

x coefficient: 2

3x+2y=8

x coefficient: 3

Find the smallest shared target

The $x$ -coefficients are $2$ and $3$ . What is their least common multiple?

What you will learn

Choose useful multipliers, eliminate one variable, and verify the ordered-pair solution.

Common mistake to avoid

When scaling an equation, multiply every term on both sides.

Helpful?