Write an algebraic expression for the following phrases.

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Answer:

1. x + 34

2. 2x - 12

3. x - 16

4. x + 45

5. 23 - x

6. 6(x - 7)

7. 78 - 4x

8. 4x + 10

9. 3x + 2

10. x(13 - x)

Step-by-step explanation:

For problems like this in the future, pay attention to the order of words, and how they go together! For example- "the difference of 23 and a number" means to subtract a number from 23, whereas "the difference of a number and 23" would mean to subtract 23 from the number. Words like "increase" and "sum" both mean addition; "product" and "times" both mean multiplication; "difference" and "less" mean subtraction. Just keep these in mind (and watch for context)!

I hope this helped! :)

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2x + 2y = -2<br> 3x -2y = 12

PIT_PIT [208]

Answer:

$2x + 2y = - 2 \\ 3x - 2y = 12 \\ now \: add \: both \: equations \\ 2x + 2y + (3x - 2y) = - 2 + 12 \\ 2x + 2y + 3x - 2y = 10 \\ 5x = 10 \\ \frac{5x}{5} = \frac{10}{5} \\ x = 2 \\ \\ 2x + 2y = - 2 \\ 2 \times 2 + 2y = - 2 \\ 4 + 2y = - 2 \\ 2y = - 2 - 4 \\ 2y = - 6 \\ \frac{2y}{2} = \frac{ - 6}{2} \\ y = - 3 \\ now \: lets \: check \: whether \: this \: equation \: correct \\ 3x - 2y = 12 \\ 3 \times 2 - 2 \times - 3 = 12 \\ 6 + 6 = 12 \\ 12 = 12 \\ yes \: its \: correct$