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`. (1 mark)
`18`
`(y3)/3` | `= 5` |
`y3` | `= 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` |