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allsm [11]
3 years ago
15

Find ghe solution to the system. Write your solution as an ordered pair (x,y) with no spaces,no solution,or infinitely many.y=4x

and 3x+2y=55​
Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Answer:

The solution of the system is (5, 20).

Step-by-step explanation:

y = 4x and 3x + 2y = 55 are simultaneous equations. To find the unknowns, we have to solve these equations simultaneously.

The first can be rewritten as

4x – y = 0.

Therefore, we have:

4x – y = 0

3x + 2y = 55

Multiplying the first equation by 2 all through, we have

8x – 2y = 0.

So we can now combine the second equation with the first multiplied by 2.

8x – 2y = 0

3x + 2y = 55

Adding these equations we have:

11x = 55

Divide both sides by 11 and we have

x = 5

Substitute x = 5 in equation 1, we have

4(5) – y = 0

y = 20.

Therefore, x = 5 and y = 20.

The solution of the system is (5, 20).

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3 years ago
List the next four multiples of fraction 7/12
Sidana [21]
<h2>Hello!</h2>

The answer is:

\frac{14}{12}=\frac{7}{12}*2\\\\\\\frac{21}{12}=\frac{7}{12}*3\\\\\\\\\frac{28}{12}=\frac{7}{12}*4\\\\\\\\\frac{35}{12}=\frac{7}{12}*5

<h2>Why?</h2>

A multiple of a number is the repeated sum of itself, for example:

Multiple of the number 1 are: 1, 2, 3, 4, 5 and so...

Multiple of the number 3 are: 3, 6, 9, 12, 15 and so...

From the example we have:

Multiple of the number 3 are: Itself, (3+3), (3+3+3), (3+3+3+3), (3+3+3+3+3) and so...

So,

Multiple of \frac{7}{12} are:

\frac{14}{12}=\frac{7}{12}*2=\frac{7}{12}+\frac{7}{12}\\\\\\\frac{21}{12}=\frac{7}{12}*3=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{28}{12}=\frac{7}{12}*4=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{35}{12}=\frac{7}{12}*5=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}

Have a nice day!

6 0
4 years ago
How do I solve x(3x-17)=0 using the square root property
scZoUnD [109]

Answer:

x = 0 or x = \frac{17}{3}

Step-by-step explanation:

We have the quadratic equation of variable x and we have to solve the equation using the square root property.

Now, we have x(3x - 17) = 0

⇒ 3x² - 17x = 0

⇒ 3(x^{2}  - \frac{17}{3}x ) = 0

⇒ x^{2} - 2 \times (\frac{17}{6}) \times x + (\frac{17}{6} )^{2} = (\frac{17}{6} )^{2}

⇒ (x - \frac{17}{6})^{2} = (\frac{17}{6} )^{2}

Now,square rooting both sides we get,  

x - \frac{17}{6} = \pm\frac{17}{6}

Therefore, either x = 0 or x = \frac{17}{3} (Answer)

8 0
3 years ago
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