6) Evaluate the expression below when $$ x=5 $$ and $$ y=3 $$ $$ 2(4 x+2)-5 y+11 $$

Question

UpStudy AI · Accepted Answer

1. Substitute $$ x=5 $$ and $$ y=3 $$ into the expression:
   $$
   2(4x+2)-5y+11 \quad \Rightarrow \quad 2(4(5)+2)-5(3)+11.
   $$

2. Compute the multiplication inside the parentheses:
   $$
   4(5) = 20.
   $$
   Now, substitute back:
   $$
   2(20+2)-15+11.
   $$

3. Simplify inside the parentheses:
   $$
   20+2 = 22.
   $$
   Thus, the expression becomes:
   $$
   2(22)-15+11.
   $$

4. Multiply:
   $$
   2(22) = 44.
   $$
   Now, combine the remaining terms:
   $$
   44-15+11.
   $$

5. Perform the final arithmetic step by step:
   $$
   44-15 = 29,
   $$
   $$
   29+11 = 40.
   $$

The evaluated expression is:
$$
40.
$$
When $$ x=5 $$ and $$ y=3 $$, the expression $$ 2(4x+2)-5y+11 $$ equals 40.

Evaluate the expression
below when
and