What is the solution to the system x + y = 5 and 3x - y = 3?

Mathematics

1 answer:

solong [7]3 years ago

7 0

The answer is (2,3)

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Dafna11 [192]

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Part AEstimate 10/12 - 3/8 using benchmark values. Your equation must show the estimate for each fraction and the final estimate

ser-zykov [4K]

ANSWER

$\text{The final estimate for the expression is }\frac{11}{24}$

STEP-BY-STEP EXPLANATION

Given information

$\text{Estimate }\frac{10}{12}\text{ - }\frac{3}{8}$

To estimate the above expression, we need to find the factors of the denominators to get the LCM

Factors of 12 = 2 x 2 x 3

Factors of 8 = 2 x 2 x 2

From the above factors, the LCM is 2 x 2 x 2 x 3 = 24

Therefore, LCM is 24

$\begin{gathered} \frac{\frac{10}{12}\text{ - }\frac{3}{8}}{24} \\ \\ =\text{ }\frac{\text{ 24(}\frac{10}{12})\text{ - 24(}\frac{3}{8})}{24} \\ \\ =\text{ }\frac{2(10)\text{ - 3(3)}}{24} \\ =\frac{20\text{ - 9}}{24} \\ =\text{ }\frac{11}{24} \end{gathered}$

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6 months ago

Determine the slope of the line that passes through the given points. (8, 1) and (8, -4)

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This would be undefined

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Find the value of x. (Picture attached.)

Svet_ta [14]

Here, triangle AEN and ALG are similar.

We know that the ratio of corresponding sides of two similar triangles are equal. So,

$\frac{21}{42} =\frac{2x-9}{(2x-9)+(x+7)}\\\\\frac{1}{2} =\frac{2x-9}{3x-2}\\\\ 3x-2=4x-18\\\\-2+18=4x-3x\\\\16=x\\\\x=16\\$

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