Question

PLEASE ANSWER ASAP!!!!!
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Answer 1

r = 5

Explanation:

Given statement,

→ 7(q + 5) is equivalent to (q + r)7.

Forming the equation,

→ 7(q + 5) = 7(q + r)

Now we have to,

→ Find the required value of r.

Then the value of r will be,

→ 7(q + 5) = 7(q + r)

Applying Distributive property:

→ 7(q) + 7(5) = 7(q) + 7(r)

→ 7q + 35 = 7q + 7r

Cancelling 7q from both sides:

→ 35 = 7r

→ 7r = 35

Dividing the RHS with number 7:

→ r = 35/7

→ [ r = 5 ]

Therefore, the value of r is 5.

Answer 2

`\huge\boxed{\sf r = 5}`

Explanation:

Given that,

7(q + 5) = (q + r)7

• Distribute

7q + 35 = 7q + 7r

• Subtract 7q from both sides

7q - 7q + 35 = 7q - 7q + 7r

35 = 7r

• Divide both sides by 7

35/7 = r

5 = r

OR

r = 5

`\rule[225]{225}{2}`