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Alex787 [66]
1 year ago
5

If 2x+ y= 10 and y=3x find the value of both x and y

Mathematics
1 answer:
Marat540 [252]1 year ago
6 0

Given the set of equations:

2x + y = 10

y = 3x

Let's solve for x and y.

Here, let's use substitution method.

Substitute 3x for y in equation 1:

2x + y = 10

2x + 3x = 10

5x = 10

Divide both sides by 5:

\begin{gathered} \frac{5x}{5}=\frac{10}{5} \\  \\ x=2 \end{gathered}

In equation 2, substitute 2 for x to find y.

y = 3x

y = 3(2)

y = 6

Therefore, we have:

x = 2 and y = 6

ANSWER:

x = 2, y = 6

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What is the factored form of 5x2 − 18x − 8? (5x + 4)(x + 2) (5x + 2)(x − 4) (5x + 1)(x + 8) (5x + 1)(x − 8)
olya-2409 [2.1K]
Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but  2 - 20 is -18. The factors we will use are -2 and 20.

How to factor it:

For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)

Note: The box method may be challenging at first, but it can be really helpful on problems like these.
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How much does 30 go into 180
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What equation represents this sentence?<br><br> 18 less than the product of a number and 9 is 14.
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5 0
3 years ago
I am confused. Can somebody explain this to me?
jolli1 [7]

Answer: If they worked together, it would take 31.5 minutes

Step-by-step explanation:

There's a certain formula for equations like this:

\frac{1}{t1} +\frac{1}{t2}=\frac{1}{tb}

t1= the time it took for the first person to complete the task.

t2= the time it took for the second person to complete the task.

tb= the time it took for both of them to complete the task.

We have the values for both t1 and t2, but not for tb.

t1= 45

t2= 105

tb= x

\frac{1}{45} +\frac{1}{105} = \frac{1}{x}

Now it's simple algebra, and all we need to do is solve for x

The LCM for both fractions is 315, so now we multiply BOTH sides of the equation by 315.

\frac{315}{45} + \frac{315}{105} = \frac{315}{x}

This will simplify nicely, so now we just need to get x on the other side.7 + 3 = \frac{315}{x} \\\\\ 10*x = \frac{315}{x} * x

10x = 315 \\\\x = 31.5

5 0
2 years ago
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