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
kumpel [21]
3 years ago
12

Solve the system of equations. -4x+7y = 20 & y=3x+15

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Substitute y = 3x + 15 to the equation -4x + 7y = 20:

-4x + 7(3x + 15) = 20          <em>use distributive property</em>

-4x + (7)(3x) + (7)(15) = 20

-4x + 21x + 105 = 20     <em>subtract 105 from both sides</em>

17x = -85     <em>divide both sides by 17</em>

x = -5

Substitute the value of x to the equation y = 3x + 15:

y = 3(-5) + 15

y = -15 + 15

y = 0

<h3>Answer: x = -5 and y = 0</h3>
You might be interested in
According to the line Gregg below what is the total number of tickets sold ?
podryga [215]

Answer:

The answer would be 155 tickets

6 0
3 years ago
LAST QUSTION OF THE NIGHT!!!!!<br> HELP SHOW WORK PLZ AND THANK YOU!!!
MissTica
Okay, so, to find out if an equation has one solution, an infinite number of solutions, or no solutions, we must first solve the equation:

(a) 6x + 4x - 6 = 24 + 9x

First, combine the like-terms on both sides of the equal sign:

10x - 6 = 24 + 9x

Now, we need to get the numbers with the variable 'x,' on the same side, by subtracting, in this case:

10x - 6 = 24 + 9x
-9x. -9x
______________
X - 6 = 24

Now, we do the opposite of subtraction, and add 6 to both sides:

X - 6 = 24
+6 +6
_________
X = 30

So, this particular equation has one solution.

(a). One solution
_____________________________________________________

(b) 25 - 4x = 15 - 3x + 10 - x

Okay, so again, we combine the like-terms, on the same side of the equal sign:

25 - 4x = 25 - 2x

Now, we get the 2 numbers with the variable 'x,' to the same side of the equal sign:

25 - 4x = 25 - 2x
+ 2x + 2x
________________
25 - 2x = 25

Next, we do the opposite of addition, and, subtract 25 on each side:

25 - 2x = 25
-25 -25
___________
-2x = 0

Finally, because we can't divide 0 by -2, this tells us that this has an infinite number of solutions.

(b) An infinite number of solutions.

__________________________________________________

(c) 4x + 8 = 2x + 7 + 2x - 20

Again, we combine the like-terms, on the same side as the equal sign:

4x + 8 = 4x - 13

Now, we get the 'x' variables on the same side, again, and, we do that by doing the opposite of addition, which, is subtraction:

4x + 8 = 4x - 13
-4x -4x
______________
8 = -13

Finally, because there is no longer an 'x' or variable, we know that this equation has no solution.

(c) No Solution
_________________________________

I hope this helps!
4 0
3 years ago
Find YZ. please help!!!
Ad libitum [116K]
Your picture is a bit blurry. What is the equation on WX and on ZY?
6 0
3 years ago
A teacher can grade 30 papers in 6 minutes and 100 papers in 20 minutes what is the rate of change
mr Goodwill [35]

Answer:

70

Step-by-step explanation i subtracted but im not good at math so dont take my word for it

3 0
3 years ago
Mike cuts a pie into 4 equal pieces. What is the angle measure of each piece
malfutka [58]

Answer:

90°

hope this helps :)

5 0
3 years ago
Read 2 more answers
Other questions:
  • There are twice as many dimes as quarters what is the probability
    9·1 answer
  • The ball game begins at 2:00 p.m it takes ying 30 minutes to get to the ball park . At what time should ying leave home to get t
    14·1 answer
  • Bernardo and Ogechi were asked to find an explicit formula for the sequence 1,8,64,512,
    12·1 answer
  • GOODNIGHT luvs!!!!! 1+1=3 lol just a lil humor
    7·2 answers
  • In answering on a multiple choice test, a student either know the answer or guesses. Let p be the probability that the students
    7·1 answer
  • Oat porridge is sold in two sizes of box.
    6·1 answer
  • Which expression is equivalent to 3 b minus 1? 5 b + 3 minus b minus b minus 4 5 b + 3 minus 2 b minus 5 2 b minus 5 + b minus 4
    14·2 answers
  • Logan is making bookmarks that contain flower petals. He has 95 petals. He uses 3 flower petals for each bookmark. What is the G
    12·1 answer
  • If 10 men takes 5 days to dig a hole. how long will 2 men take to do the same work?​
    15·2 answers
  • What would the following be?​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!