Hong Kong
Stage 1 - Stage 3
The Substitution 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
< 1min
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 |
Easy
< 1min
Consider the following equations.
| Equation 1 | $4x+7y=-9$4x+7y=−9 |
| Equation 2 | $12x+21y=-18$12x+21y=−18 |
Easy
6min
We want to solve the following system of equations using the substitution method.
| Equation 1 | $y=5x+34$y=5x+34 |
| Equation 2 | $y=3x+18$y=3x+18 |
Easy
3min
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