Question

Check whether x=6 is the solution of the following equations

(i)3x-7=11
(ii)2x+5=17
(iii)2x+8=15​

Answer 1

Given to us:–

• 
  `\sf{3x - 7 = 11}`
• 
  `\sf{2x + 5 = 17}`
• 
  `\sf{2x + 8 = 15}`

To find:–

• Solve the equations ; determine if x = 6 is a solution to the above equations .

Eqn (1) :

➱
`\sf{3x - 7 = 11}`

➱
`\sf{3x = 11 + 7}`

➱
`\sf{3x = 18}`

➱
`\sf{x = 6}` So , yes , x = 6 is a solution .

Eqn (2) :

➱
`\sf{2x + 5= 17}`

➱
`\sf{2x = 17 - 5}`

➱
`\sf{2x = 12}`

➱
`\sf{x = 6}`

Eqn (3)

`\sf{2x + 8 = 15}`

`\sf{2x=15-8}`

`\sf{2x=7}`

`\sf{x=7/2}`

Henceforth , X = 6 is a solution to the first two equations .

Answer 2

Hello!

Answer:

`\Large \boxed{\sf Yes}\\\Large \boxed{\sf Yes}\\\Large \boxed{\sf No}`

Explanation:

Go replace x by 6:

`\sf 3x - 7 = 3 * 6 - 7 = 18 - 7 = 11\\\\11`

• 11 = 11 so 6 is the solution of this equation.

`\sf 2x+5= 2 * 6 + 5 = 12 +5=17 \\\\17`

• 17 = 17 so 6 is the solution of this equation.

`\sf 2x+8= 2 * 6 + 8 = 12 + 8 = 20 \\\\15`

• 20 ≠ 15 so 6 isn't the solution of this equation.