Question

Please help I’ve been stuck on this question for a while

Answer 1

`\sf\\\textsf{Fourth option}`

Step-by-step explanation:

`\bold{Method\ 1:}`

`\sf\\\textsf{The equation given in the fourth option is: }\\3x-3=18\\\textsf{Put x = 7,}\\3(7)-3=18\\\textsf{or, }21-3=18\\\textsf{or, }18=18\ \ \ (True)\\\textsf{The condition is satisfied, hence x = 7 is the solution to this equation.}`

`\sf\\\textsf{But in other options, when you put x = 7, you get a false statement.}\\`

`\sf\\\textsf{In first option,}\\2x+8=11\\\textsf{Put x = 7,}\\2(7)+8=11\\\textsf{or, }14+8=11\\\textsf{or, }22=11\ \ \ (False)`

`\sf\\\textsf{Put x = 7 in the second option,}\\8(7)-4=-52\\\textsf{or, }56-4=-52\\\textsf{or, }52=-52\ \ \ (False)`

`\sf\\\textsf{Put x = 7 in the third option,}\\9(7)-9=117\\\textsf{or, }63-9=117\\\textsf{or, }54=117\ \ \ (False)`

`\textsf{So none of the options except the fourth option has the solution x = 7.}`

`\bold{Method\ 2:}`

`\sf\\\textsf{Here, we will solve each of the equations one by one.}\\\\2x+8=11\\\textsf{or, }2x=3\\\textsf{or, }x=3/2\\\\8x-4=-52\\\textsf{or, }8x=-48\\\textsf{or, }x=-6\\\\9x-9=117\\\textsf{or, }9x=126\\\textsf{or, }x=14\\\\3x-3=18\\\textsf{or, }3x=21\\\textsf{or, }x=7`

`\textsf{The equation in fourth option has the solution x = 7, so this is the answer.}`

Answer 2

2x + 8 = 11 that’s the correct answer