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geniusboy [140]
4 years ago
14

X + y = 24

Mathematics
1 answer:
Masja [62]4 years ago
8 0

Answer:

(10, 14)

Step-by-step explanation:

To solve this system let's use substitution:

Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

3(24 - y) + 5y = 100

Performing the indicated multiplication, we get:

72 - 3y + 5y = 100

Combining like terms results in 72 - 100 = -2y, or -28 = -2y

Thus, y must be 14.

If y = 14, then the first equation tells us that x = 10.

Check:  Is this true?  3(10) + 5(14) = 100  YES

The solution is (10, 14).

What was it about the questions on the best that you were supposed to compare to this solution?

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<span>Write the ratio of 3/7 to 6 as a fraction in simplest form
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4 0
4 years ago
when Dallas committed to work one morning his average speed was 45 mph. On the return trip he average only 35 mph. Due to conges
defon

The required distance is 16.40 km.

This problem can be solved if we know the concept of speed, time and distance.

We know the speed=\frac{distance}{time}

To solve the problem let us assume that the total distance between the workplace and home is x km.

Given that his speed while going from home to work is 45 mph and while returning is 35 mph.

Time for the complete journey is \frac{5}{6}hr.

Now according to question;

   \frac{x}{45}+\frac{x}{35}=\frac{5}{6}

⇒\frac{7x+9x}{315}=\frac{5}{6}

⇒16x=\frac{5*315}{6}

⇒ x=\frac{5*315}{6*16}

∴ x=16.40\ km

So, the required distance is 16.40 km.

To learn more about speed, distance and time visit the link:

brainly.com/question/15256256

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