Question

1) 78 + 5q = 296 + 3q: Fill in the correct answer
on vour answer document. please answer fast.

Answer 1

`\sf \: q = 109`

Explanation:

Now we have to,

→ Find the required value of q.

The equation is,

→ 78 + 5q = 296 + 3q

Then the value of q will be,

→ 78 + 5q = 296 + 3q

→ 78 - 296 = 3q - 5q

→ -218 = -2q

→ -2q = -218

→ 2q = 218

→ q = 218 ÷ 2

→ [ q = 109 ]

Hence, the value of q is 109.

Answer 2

`\huge\text{Hey there!}`

`\mathsf{78 + 5q = 296 + 3q}`

`\mathsf{5q + 78 = 3q + 296}`

`\large\text{SUBTRACT 3q to both sides}:`

`\mathsf{5q + 78 - 3q = 3q + 296 - 3q}`

`\large\text{SIMPLIFY it:}`

`\mathsf{5q + 78 - 3q = 296}`

`\mathsf{2q + 78 = 296}`

`\large\text{DIVIDE 78 to both sides:}`

`\mathsf{2q + 78 - 78 = 296 - 78}`

`\large\text{SIMPLIFY it:}`

`\mathsf{2q = 296 - 78}`

`\mathsf{2q = 218}`

`\large\text{DIVIDE 2 to both sides:}`

`\mathsf{(2q)/(2) = (218)/(2)}`

`\large\text{SIMPLIFY it:}`

`\mathsf{q = (218)/(2)}`

`\mathsf{q = 109}`

`\huge\text{Therefore your answer should be:}`

`\huge\boxed{\mathsf{q = 109}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`