14.2 Simultaneous equations by substitution — Practise

1. Solve $y=x+2$ and $x+y=10$.

Answer: $x=4$, $y=6$

2. Solve $y=2x-1$ and $x+y=8$.

Answer: $x=3$, $y=5$

3. Solve $x=3y+1$ and $x+y=13$.

Answer: $x=10$, $y=3$

4. Solve $y=5-x$ and $2x+3y=11$.

Answer: $x=4$, $y=1$

5. Solve $y=3x+4$ and $2x+y=19$.

Answer: $x=3$, $y=13$

6. Solve $x=2y-3$ and $3x+y=17$.

Answer: $x=5$, $y=4$

7. Solve $y=\frac{x}{2}+1$ and $x+y=10$.

Answer: $x=6$, $y=4$

8. Solve $x=4-y$ and $3x+2y=8$.

Answer: $x=0$, $y=4$

9. A rectangle has length $l=2w+1$ cm and perimeter 26 cm. Find its dimen

Answer: Width $4$ cm and length $9$ cm.

10. Solve $y=2x-3$ and $4x+3y=17$.

Answer: $x=4$, $y=5$