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irinina [24]
3 years ago
11

Solve this equation. 3.5(2.25 + x) = 14

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

Answer:

1.75

Step-by-step explanation:

Use the distributive property first.

(3.5 x 2.25) (3.5 x X) = 14

7.875 + 3.5x = 14   Now subtract 7.875 from both sides

3.5x = 6.125  Now divide 3.5 by both sides

x = 1.75

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Answer:

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Step-by-step explanation:

To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.

(8x + 5) + (4x - 3)        Remove brackets to add a binomial (2-term brackets)

= 8x + 5 + 4x - 3        Collect like terms

= 8x + 4x + 5 - 3        I rearranged so you can see which terms are alike

= 12x + 5 - 3        Collected like terms with "x" (8x + 4x = 12x)

= 12x + 2        Collected like terms with no variables (5 - 3 = 2)

Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.

If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can <em>take it out</em> and put the other numbers in a bracket.

12x + 2

= 2(12x/2 + 2/2)

= 2(6x + 1)        This is equal, but in factored form.

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