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3 years ago

Solve the system by substitution. y = 8x y=10x – 4 Submit Answer How

Mathematics

1 answer:

Goshia [24]3 years ago

6 0

Answer:

(2,16)

Step-by-step explanation:

y=8x-----------(i)

y= 10x-4---------(ii)

Substituting the value of y=8x in equation (ii)

8x=10x-4

8x-10x=-4

-2x= -4

x=2

Now, substituting the value of x= 2 in equation (i)

y=8x=8(2)=16

Solution of the system is (2,16)

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What is the answer to this math question 2 1/12-5 5/6

AleksandrR [38]

The solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

Solution:

We have to solve the given expression

Given expression is:

$2\frac{1}{12} - 5\frac{5}{6}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$

$5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}$

Thus the given expression becomes,

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}$

Make the denominators same for easier calculations

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}$

Reducing to lowest terms, we get

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}$

In decimal form, we get

$\rightarrow \frac{-15}{4} = -3.75$

Thus the solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

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3 years ago

For each fraction below find an equivalent fraction with a denominator 200. fraction 14/25

Shtirlitz [24]

Answer:

112/200

Step-by-step explanation:

To find an equivalent fraction with a new denominator you can simply multiply by 1. However, you must multiply by different forms of 1. Remember that any number divided by itself is equal to 1. Additionally, because of the identity property of multiplication, any number multiplied by 1 is still equivalent.

In this case, you should multiply by a fraction that will make 25=200. To get 200 from 25 you must multiply by 8. So, multiply the whole fraction by 8/8. This gives you (14/25)*(8/8)=112/200.

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2 years ago

What is x in 1/150/1/200x2=x

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Answer:

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Step-by-step explanation:

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