Solve the equation `(2x)/5 + 1 = (3x + 1)/2`, leaving your answer as a fraction. (3 marks)
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Solve the equation `(2x)/5 + 1 = (3x + 1)/2`, leaving your answer as a fraction. (3 marks)
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`5/11`
♦ Mean mark 35%.
| `underbrace{(2x)/5 + 1}_text(multiply x10)` | `=underbrace{(3x + 1)/2}_text(multiply x10)` |
| `4x + 10` | `= 15x + 5` |
| `11x` | `= 5` |
| `x` | `= 5/11` |
What is the value of `x` in the equation `(5-x)/3 = 6`?
`A`
| `(5-x)/3` | `= 6` |
| `5-x` | `= 18` |
| `x` | `= 5-18` |
| `= -13` |
`=>A`
If `(y-3)/3 =5`, find `y`. (2 marks)
`18`
| `(y-3)/3` | `= 5` |
| `y-3` | `= 15` |
| `y` | `= 18` |
Find the value of `r` given `r/7-4 = 3`. (1 mark)
`49`
| `r/7-4` | `= 3` |
| `r/7` | `= 7` |
| `:.r` | `= 49` |
Consider the equation `(2x)/3-4 = (5x)/2 + 1`.
Which of the following would be a correct step in solving this equation?
`B`
| `(2x)/3-4` | `= (5x)/2 + 1` |
| `(2x)/3` | `= (5x)/2 + 5` |
`=>B`
Solve the equation `(5x + 1)/3-4 = 5-7x`. (3 marks)
`x = 1`
| `(5x + 1)/3-4` | `= 5-7x` |
| `5x + 1-3(4)` | `= 3(5-7x)` |
| `5x + 1-12` | `= 15-21x` |
| `26x` | `= 26` |
| `:. x` | `= 1` |