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lbvjy [14]
3 years ago
15

What is the value of x in the equation 7x+2v =48 when y =3​

Mathematics
2 answers:
Phantasy [73]3 years ago
4 0

Answer:

3 3/7

Step-by-step explanation:

7x+2v=48

2v. -2

-------

46

7x+46=48

-46. -46

---------------------

7x=2/7. x=2/7=1/7

x=1/7

bonufazy [111]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

7x+2y =48 when y =3

Substitute for y in the equation.

7x + 2(3) = 48

7x + 6 = 48

7x = 48 - 6

7x = 42

x = 42/7

x = 6

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What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)? –2x + 5 2x – 5 –2x – 5 2x + 5
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ANSWER

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = - 2x+5

EXPLANATION

We have been given the quotient,

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} }
to simplify.

We need to rewrite the numerator as difference of two cubes.

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ {5}^{3} - ( {2x})^{3} }{ 25 + 10x + 4 {x}^{2} }

We need to make use of the difference of cubes formula,

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We now let,
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Then the numerator becomes,

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 5 (2x) + {(2x)}^{2}) }{ 25 + 10x + 4 {x}^{2} }

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\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 10x + 4 {x}^{2}) }{ 25 + 10x + 4 {x}^{2} }

We cancel out common factors to obtain,

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)}{ 1}

\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = 5 - 2x
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Step-by-step explanation:

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