Five times the difference of twice a number and seven is negative twenty-five. Find the number.

Mathematics

1 answer:

Sati [7]2 years ago

4 0

The number is 1

Step-by-step explanation:

Let x be the required number

Then according to given statement

Five times the difference of twice a number and seven is negative twenty-five.

$5(2x-7) = -25$

Simplifying

$10x-35 = -25\\$

Adding 35 on both sides

$10x-35+35 = -25+35\\10x = 10$

Dividing both sides by 10

$\frac{10x}{10} = \frac{10}{10}\\x = 1$

Verification:

$5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25$

Hence,

1 is the number

Keywords: Linear equation

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salantis [7]

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$\bf 8x+13=11x-23\implies 8x+36=11x\implies 36=3x \\\\\\ \cfrac{36}{3}=x\implies \boxed{12=x} \\\\[-0.35em] ~\dotfill\\\\ 2y+12=4y-4\implies 2y+16=4y\implies 16=2y \\\\\\ \cfrac{16}{2}=y\implies \boxed{8=y}$