Question

Drag each equation to show if it could be a correct first step to solving the equation 4(3+x)=36.

Answer 1

The following could be a correct first step to solving the equation 4(3+x)=36

• 12 + 4 x = 36
• 3 + x = 9
• (4.3) + (x.4) = 36

Step-by-step explanation:

Here we have , to that which equation fits good for next step solutions for the given equation as $4(3+x)=36$:

case 1: $12+4x=36$ :

Yes, this equation can be obtained from $4(3+x)=36$ as

⇒ $(4.3)+(4.x) = 36$

⇒ $(12)+(4x) = 36$

case 2: $3+x=9$ :

Yes, this equation can be obtained from $4(3+x)=36$ as

⇒ $\frac{4(3+x)}{4}=\frac{36}{4}$

⇒ $3+x=\frac{36}{4}$

⇒ $3+x=9$

case 3: $12+x=36$:

No, not possible as  $4(3+x)=36$ can be written as

⇒ $12+4x=36$ Not as $12+x=36$ .

case 4: $3+4x=36$:

Not possible as  $4(3+x)=36$ can be written as

⇒ $12+4x=36$ Not as $3+4x=36$ .

case 5: $4(3+x)=144$:

Not possible as  $4(3+x)=36$ can be written as

⇒ $4(3+x)=36$ Not as   $4(3+x)=144$.

case 6: $(4.3)+(4.x)=36$ :

Yes, this equation can be obtained from $4(3+x)=36$ as

⇒ $(4.3)+(4.x)=36$