Question

solve and check the solution. (1) 3(x-3)=18 (2) 4x+5=1 (3) x-8=10​

Answer 1

Answer:

1)x=9

2)x=-1

3)x=18

Step-by-step explanation:

1) 3(x-3) r 18

3x-9=18

3x=18+9

3x=27

x=27/3

x=9

2)4x+5=1

4x=1-5

4x=-4

x=-4÷4

x=-1

3)x-8=10

x=10+8

x=18

Answer 2

Given:

1. 3(x - 3) = 18
2. 4x + 5 = 1
3. x - 8 = 10​

What To Do:

We have to both solve the equations as well as check our answers.

Solution:

1.  3(x - 3) = 18

Solve the brackets,

⇒ 3x - 9 = 18

Take 9 to RHS,

⇒ 3x = 18 + 9

Add 18 and 9,

⇒ 3x = 27

Take 3 to RHS,

⇒ $\rm x = \dfrac{27}{3}$

Divide 27 by 3,

⇒ x = 9

2. 4x + 5 = 1

Take 5 to RHS,

⇒ 4x = 1 - 5

Subtract 5 from 1,

⇒ 4x = -4

Take 4 to RHS,

⇒ $\rm x = \dfrac{-4}{4}$

Divide -4 by 4,

⇒ x = -1

3. x - 8 = 10

Take 8 to RHS,

⇒ x = 10 + 8

Add 10 and 8,

⇒ x = 18

Check (Verification):

1.  3(x - 3) = 18

Substitute the value of x,

⇒ 3(9 - 3) = 18

Solve the brackets,

⇒ 3 × 6 = 18

Multiply 3 by 6,

⇒ 18 = 18

∴ Since, LHS = RHS, hence checked.

2. 4x + 5 = 1

Substitute the value of x,

⇒ 4 × -1 + 5 = 1

Multiply 4 by -1,

⇒ -4 + 5 = 1

Add -4 and 5,

⇒ 1 = 1

∴ Since, LHS = RHS, hence checked.

3. x - 8 = 10

Substitute the value of x,

⇒ 18 - 8 = 10

Subtract 8 from 18,

⇒ 10 = 10

∴ Since, LHS = RHS, hence checked.