Combine Expressions 121208
1. **Stating the problem:** We have two linear expressions: $y=5x-1$ and $y=2x+7$. The question asks to "bracket this in one bracket," which means to express the difference or combination of these two expressions inside a single bracket.
2. **Understanding the goal:** Typically, "bracketing" two expressions means writing their difference or sum as a single expression inside parentheses or brackets.
3. **Form the difference:** Let's subtract the second expression from the first:
$$ (5x - 1) - (2x + 7) $$
4. **Simplify inside the bracket:**
$$ 5x - 1 - 2x - 7 = (5x - 2x) + (-1 - 7) = 3x - 8 $$
5. **Final expression:**
$$ (5x - 1) - (2x + 7) = 3x - 8 $$
This shows the two expressions combined inside one bracket and simplified.
Alternatively, if you want to factor the difference:
6. **Factoring the difference:**
$$ 3x - 8 $$ cannot be factored further with integer factors.
**Answer:** The two expressions combined inside one bracket as their difference is:
$$ (5x - 1) - (2x + 7) = 3x - 8 $$