1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
givi [52]
3 years ago
7

Solve the system by substitution

Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

(-5, -30)

Step-by-step explanation:

We start with the equation:

y = 6x

y = -4x - 50

Since both of them are equal to y, we can substitute the 6x into y. So:

6x = -4x - 50

Now we can solve for x. Add 4x to both sides...

6x = -4x - 50

+4x   +4x

10x = -50

Now, divide both sides by 10.

<u>10x</u> = <u>-50</u>

10      10

x = -5

So, we now know that x is -5. Now we know this, we can substitute -5 where we see x. It works in both equations, so I will do both.

y = 6(-5)

y = -30

And...

y = -4(-5) - 50

y = 20 - 50

y = -30

As you can see, both equations show that y = -30. To check our work, let's plug in the values.

-30 = 6(-5)

-30 = -30

Also:

-30 = -4(-5) - 50

-30 = -20 - 50

-30 = -30

So, we can see that both of the equations gave us the same answer. So, our answer is x = -5 and y = -30, so the ordered pair is: (-5, -30). Hope this helps you!

You might be interested in
Solve: 6x-9 = 3x<br> A x = 3<br> B x=1<br> C x = -1<br> D X=-3
Bumek [7]

Answer:

Answer is A, A=3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A rectangle has a length of 12 inches and a width of 6 inches. A second rectangle will be drawn with a scale factor of
LenaWriter [7]

Answer:

36 × 18=648

Step-by-step explanation:

first one should do the area which results to 36 inches.

secondly do 3 × length of each side of the rectangle since scale factor is gotten by doing the recipricol of the scale factor given.

6 0
3 years ago
Round 98,471 to the nearest ten thousands
d1i1m1o1n [39]
The answer to this question is 98000
4 0
3 years ago
The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem? 32.6 minus y = 10.2 y minus
guapka [62]

Answer:

32.6 - y= 10.2

Step-by-step explanation:

The equation to solve this problem can be written as

32.6 - y= 10.2

Where y is the number that was substracted from 32.6.

If we make y subject of formula we have

y= (32.6-10.2)

y=22.4

Which means the number that was substracted from 32.6 is 22.4 and there difference is 10.2

3 0
3 years ago
Read 2 more answers
Count by ones from 368 to 500
Marta_Voda [28]
Um.... 368 369 370 371 372 372 374 375 376 377 378 379 etc
6 0
3 years ago
Read 2 more answers
Other questions:
  • Amy drove 2,789 miles on her cross country trip.she rounded that number to 2,800 miles when she spoke of the trip. To which plac
    8·1 answer
  • Construct a recursive rule to describe the sequence: 2, 4, 6, 8,...
    7·1 answer
  • Can you do number 7 and explain to me how you got the answer?
    9·1 answer
  • The residual plot for a data set is shown.
    5·2 answers
  • Administration know that 50% of the students at garden grove middle school ride the bus to school.
    7·1 answer
  • 2+7347 and much is it
    6·2 answers
  • using a regression calculator, what is a good prediction for the height of the tree when it is 100 years old?
    15·1 answer
  • I only need someone to put it in the quadratic formula I already have solutions. Please answer ASAP!!! I will give brainliest!!!
    13·1 answer
  • What are the steps, in order, needed to solve 3x + 4 = 13?
    7·2 answers
  • 6. Is it possible to have a regular polygon with<br>an exterior angle of measure 25°?​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!