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Practice Quizzes
The Elimination Method, Quiz

Class 10

The Elimination Method, Quiz

Five questions on the elimination method. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

Solve by elimination: $2x + 3y = 12$ and $4x - 3y = 6$ .

A $x = 2$ , $y = 3$

B $x = 1$ , $\displaystyle y = \dfrac{10}{3}$

C $x = 3$ , $y = 2$

D $x = 3$ , $y = -2$
To eliminate $y$ from $3x + 2y = 11$ and $2x + 3y = 4$ , what should you multiply the equations by?

A The first by $3$ and the second by $2$

B The first by $2$ and the second by $3$

C The first by $3$ only

D Both by $6$
Solve $3x + 2y = 11$ and $2x + 3y = 4$ .

A $x = -2$ , $y = 5$

B $x = 3$ , $y = 1$

C $x = 5$ , $y = 2$

D $x = 5$ , $y = -2$
Solve $5x - 2y = 1$ and $3x + 4y = 24$ .

A $x = 3$ , $y = 7$

B $\displaystyle x = \dfrac{9}{2}$ , $y = 2$

C $x = 2$ , $y = 4$

D $x = 2$ , $\displaystyle y = \dfrac{9}{2}$
When the $y$ -coefficients are $+5$ and $-5$ , how do you eliminate $y$ ?

A Subtract the equations

B Divide one equation by the other

C Multiply the equations

D Add the equations

Unanswered questions are marked wrong.

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