Subjects algebra

Combine Expressions 121208

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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: $$ (5x - 1) - (2x + 7) = 3x - 8 $$