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Alexus [3.1K]
3 years ago
8

How would u solve this liner system?

Mathematics
1 answer:
ikadub [295]3 years ago
8 0
We can solve it by substitution: y = - 3 x - 1.
So the 2nd equation becomes:
4 x + 3 * ( - 3 x - 1 ) = 2
4 x - 9 x - 3 = 2
- 5 x = 2 + 3
- 5 x = 5
x = 5 : ( - 5 ) = -  1
y = - 3 * ( - 1 ) - 1 = 3 - 1 = 2
Answer:  x = - 1,  y = 2.
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Nathaniel was given a large box of 24 chocolates for his birthday. If he
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Divid 15 into two parts such that the sum of their reciprocal is 3/10
Klio2033 [76]
From the information obtained from the question, two equations can be created:
 
Let x and z be the two numbers (parts)

\frac{1}{z}   +   \frac{1}{x}  =   \frac{3}{10} .  .  .  . (1)

z  +   x  =  15  .  .  .  . (2)

By transposing (2), make 'z' the subject of the equation
z = 15 - x  .  .  .  . (3)

By substituting (3) into equation (1) to find a value for x
\frac{1}{(15 - x)} + \frac{1}{x} = \frac{3}{10}

\frac{15}{( 15 - x ) ( x )}  =   \frac{3}{10}

3 ( - x^{2}  + 15 x )  =  150

3 x^{2}  - 45x + 150 = 0

⇒  ( x - 5 )  ( x - 10 )  = 0

∴ either ( x - 5) = 0        OR    ( x - 10 ) = 0

Thus x = 5 or x = 10

By substituting the values of x into (2) to find z

     z + (5) = 15       OR      z + (10) = 15

    ⇒      z = 10      OR                 z = 5

So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.





5 0
3 years ago
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Elena-2011 [213]
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6 0
3 years ago
What percent of 80 is 25
JulsSmile [24]

Answer: 31.25%

Step-by-step explanation: To answer the question <em>what percent of 80 is 25</em>, we translate the question into an equation.

So we have "what percent" that's x, "of 80" means times 80, "is 25" = 25.

Now to solve for <em>x</em>, since <em>x</em> is being multiplied by 80, we need to divide by 80 on both sides of the equation. On the left side of the equation the 80's cancel and we have <em>x</em> and on the right side of the equation, we have 25 ÷ 80 which gives us 0<em>.</em>3125. Now, remember that we want to right our answer as a percent so to write 0.3125 as a percent, we move the decimal point 2 places to the right and we get 31.25%.

Therefore, 31.25% of 80 is 25.

8 0
3 years ago
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