Question

Simplify 7(x-2y)-5(x-3y)
[A] x+2y
[B] x+y
[C] 2x+y
[D] 2x-y​

Answer 1

Let's simplify the expression step by step:

7(x - 2y) - 5(x - 3y)

= 7x - 14y - 5x + 15y (distributing the 7 and -5)

= 2x + y (combining like terms)

Therefore, the simplified expression is 2x + y, which corresponds to option [C].

Explanation:

Answer 2

The answer is **C. 2x+y**

* Expand the parentheses: 7x-14y - 5x+15y

* Combine like terms: 2x+y

Here is the step-by-step solution:

1. Expand the parentheses:

```

7(x-2y)-5(x-3y)

= 7x-14y - 5x+15y

```

2. Combine like terms:

```

= (7x-5x) + (-14y+15y)

= 2x + y

```

Explanation: