Question

Simplify 310x + 16y + 310x + 36y
3
10
𝑥

+

1
6
𝑦

+

3
10
𝑥

+

3
6
𝑦
. Be sure to reduce any fractions to the lowest terms.(1 point) hvghgb

Answer 1

To simplify the expression \(310x + 16y + 310x + 36y\), we can first combine like terms for \(x\) and \(y\).

1. Combine the \(x\) terms:
\[
310x + 310x = 620x
\]

2. Combine the \(y\) terms:
\[
16y + 36y = 52y
\]

Now, we can write the simplified expression:
\[
620x + 52y
\]

Next, we can factor out the greatest common divisor (GCD) from the coefficients \(620\) and \(52\). The GCD of \(620\) and \(52\) is \(4\).

3. Factoring out \(4\):
\[
620x + 52y = 4(155x + 13y)
\]

The final simplified expression, reduced to its simplest form, is:
\[
4(155x + 13y)
\]