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3 years ago

Is (3,4) a solution to the system of equations. X + y = 7 x - 2y = - 5

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

Answer: Yes, the point (3,4) is a solution to the system.

===================================================

Proof of this:

Replace x with 3 and y with 4 in the first equation

x+y = 7

3+4 = 7

7 = 7

This confirms the first equation. Repeat for the second equation

x-2y = -5

3-2(4) = -5

3 - 8 = -5

-5 = -5

We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).

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2 years ago

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.

DochEvi [55]

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there. How many more hours does Liza have to drive?

Answer:

Liza need to drive 2 more hours to reach her sister house

Solution:

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

$\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240$

So Liza has covered 240 miles in 4 hours

Let us find the speed

The relation between distance and speed is given as:

$speed = \frac{distance}{time}$

$speed = \frac{240}{4} = 60$

Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

$time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2$

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3 years ago

What is the value of the expression below.4/5+3/5+3.5×5

Solnce55 [7]

Answer:

18.9

Step-by-step explanation:

4/5 + 3/5 + 3.5 * 5

Well using PEMDAS you would need to do 3.5 x 5 which is 17.5

After that you would to 4/5 + 3/5 which is 7/5 also as 1 2/5

Then you would do 7/5 + 17.5 = 18.9

I might be wrong but that is what I got and I hope it helps you :)

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2 years ago