Hong Kong
Stage 1 - Stage 3
The Elimination Method
Interactive practice questions
Consider this system of equations.
| Equation 1 | $\frac{4x}{5}+\frac{3y}{5}=4$4x5+3y5=4 |
| Equation 2 |
$8x-3y=5$8x−3y=5 |
Which operation will change the fractional coefficients to integer coefficients in this system of equations?
Multiply Equation 2 by $5$5.
A
Multiply Equation 1 by $5$5.
B
Divide Equation 2 by $3$3.
C
Divide Equation 1 by $3$3.
D
Easy
Less than a minute
Consider this system of equations.
| Equation 1 | $\frac{2x}{5}+\frac{3y}{5}=-\frac{7}{5}$2x5+3y5=−75 |
| Equation 2 |
$-\frac{1}{4}\left(-5x+\frac{7y}{9}\right)=2$−14(−5x+7y9)=2 |
Consider the following system of equations.
| Equation 1 | $3x+7y=-6$3x+7y=−6 |
| Equation 2 | $2x-y=-17$2x−y=−17 |
Suppose we want to solve this system by using the elimination method and eliminating $y$y.
Consider the following system of equations.
| $-8x$−8x | $-$− | $y$y | $=$= | $0$0 |
| $-5x$−5x | $+$+ | $3y$3y | $=$= | $6$6 |
We are solving this system using the elimination method.
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