Can someone solve these simultaneous equations and explain the way to do this easily:

1 answer:

N76 [4]2 years ago

8 0

The easiest way to solve this system of equations is by elimination. Both equations have a 3x term, so we can basically subtract the equations to cancel the 3x. Then we will be left with a single variable to solve for.

(3x + y = -4)
-(3x -4y = 6)

Distribute the negative:

(3x + y = -4)
(-3x + 4y = -6)

Now add the equations together term by term:

0x + 5y = -10

5y = -10

y = -2

Plug y = -2 into either equation to find x.

3x + (-2) = -4

3x = -2

x = -2/3

So the answer as an ordered pair is (-2/3, -2)

You might be interested in

Is every relation also a function? Explain

Sladkaya [172]

Answer:

Step-by-step explanation:

they are not

8 0

2 years ago

Read 2 more answers

Which line has a slope of 5/2?

Lorico [155]

The answer is line c, because you have to rise 5 and run 2.

8 0

3 years ago

Read 2 more answers

A man can take a same time to row 13km downstream and 7km upstream.His speed in still water is 5km/hr.The speed of stream is

vekshin1

Answer:

0.6 km/hr

Step-by-step explanation:

Speed downstream: 13/5= 2.6 km/hr

Speed upstream: 7/5= 1.4 km/hr

Therefore, Velocity of current is: 1/2 (2.6-1.4) km/hr = 1/2(1.2) km/hr

8 0

1 year ago

To determine the number of trout in a lake, a conservationist catches 180 trout, tags them and throws them back into the lake.

GaryK [48]

The ratio of the trout with tags that are caught and the total trout with tags is first calculated.

r = 12 trout / 180 trout = 1/15

Then, we divide the number of trouts caught without tag by the value obtained above.

N = (48 - 12) / (1/15) = 540

Then, we add the number obtained above and 180.
T = 540 + 180 = 720

ANSWER: 720

3 0

3 years ago

Find the coordinates of the midpoint of the segment with endpoints A(-5, 6) and B(3, 2). You must show all work in order to rece

OLga [1]

Midpoint Formula = $M = ( \frac{ x_{1}+x_{2}}{2}) + ( \frac{ y_{1} + y_{2}} {2})$

We are given the coordinates: A(-5,6) and B(3,2)
Plug the values into the equation to get:
M = ((3 - 5)/2, (2 + 6)/2)
Now, just solve it down to get M = (-1,4).

The midpoint of the segment with endpoints A(-5,6) and B (3,2) is (-1,4). Hope this helps ALot and have a wonderful day!

4 0

3 years ago