Question

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify Q + S - T.

Answer 1

Answer: The required value of Q+S-T is
`8m+7n-3.`

Step-by-step explanation: We are given the following values of Q, R, S and T :

`Q=7m+3n,\\\\R=11-2m,\\\\S=n+5,\\\\T=-m-3n+8.`

We are to simplify Q + S - T.

To simplify the given expression, we must substitute the values of Q, S and T in the expression.

Therefore, we get

`Q+S-T\\\\=(7m+3n)+(n+5)-(-m-3n+8)\\\\=7m+3n+n+5+m+3n-8\\\\=8m+7n-3.`

Thus, the required value of Q+S-T is
`8m+7n-3.`