Question

5 which expression is equivalent to $8x - 15y - 2x + 7y$? $\bigcirc -7x + 5y$ $\bigcirc 2(3x - 4y)$ $\bigcirc 2(5x + 4y)$ $\bigcirc 15x - 17y$

Explanation:

Step 1: Combine like terms for x

We have \(8x - 2x\). Combining these, we get \((8 - 2)x = 6x\).

Step 2: Combine like terms for y

We have \(-15y + 7y\). Combining these, we get \((-15 + 7)y = -8y\).

Step 3: Write the simplified expression

After combining like terms, the expression becomes \(6x - 8y\).

Step 4: Factor the expression

We can factor out a 2 from \(6x - 8y\), which gives \(2(3x - 4y)\) (since \(6x\div2 = 3x\) and \(-8y\div2 = -4y\)).

Answer:

B. \(2(3x - 4y)\)