Question

Solve the following linear equation. Show your solution.

1.) -11 = 7 - x
2.) 11 - x = 29
3.) -9 - 11x = 68
4.) -5x + 17 = -33
5.) 95 = -4 + 33x​

Answer 1

Step-by-step explanation:ok so in number 1 u have -11=7-x so u take the 7 to the other side it becomes -7 so now u have -11-7=-x so -18=-x and now u remove the - because we have -18 and -x so u get x=18

Answer 2

`\sf \: 1 ] -11 = 7 - x`

`\sf \: ↣ -11 = 7 -x \\ \sf ↣ - 11 - 7 = - x \\ \sf ↣ - 18 = - x \\ ↣ \fbox{\sf \orange{ x = 18}}`

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`\textsf {2 ] 11 - x = 29}`

`\sf \: ↣ 11 - x = 29 \\ \sf↣ - x = 29 - 11 \\ \sf↣- x = 11 \\ \sf↣ \fbox{ \sf \pink{ x = - 11}}`

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`\sf \: 3 ] -9 -11x = 68`

`\sf \: ↣ -9 - 11x = 68 \\ \sf↣ -11x = 68 + 9 \\ \sf ↣ - 11x = 77 \\ \sf↣ x = \cancel (77)/( - 11) \\ ↣ \fbox{ \sf \purple{ x = -7}}`

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`\sf \: 4 ] -5x + 17 = -33`

`\sf \: ↣-5x + 17 = -33 \\ \sf↣-5x = -33 -17 \\ \sf ↣-5x = -50 \\ \sf \sf↣x = \cancel ( - 50)/( - 5) \\ ↣\fbox{ \sf \red{x = 10}}`

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`\sf \: 5 ] 95 = -4 + 33x`

`\sf \: ↣ 95 = -4 + 33x \\ \sf↣ 95 + 4 = 33x \\ \sf \: ↣ 99 = 33x \\ \sf↣ \cancel (99)/(33) = x \\ \sf↣ 3 = x \\ ↣ \fbox{ \sf \green{x = 3}}`

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hope it helps!:)

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