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
marishachu [46]
3 years ago
8

PLZ HELP! Solve the system of equations using the substitution method

Mathematics
1 answer:
vladimir2022 [97]3 years ago
3 0

Answer:

x=6,y=-11

Step-by-step explanation:

y=-3x+7

x=-2y-16

Substitute the second equation into the first every place you see an x

y=-3(-2y-16)+7

Distribute

y = 6y+48 +7

Combine like terms

y = 6y +55

Minus 6y from each side

y-6y = 6y-6y+55

-5y = 55

Divide by -5

-5y/-5 = 55/-5

y = -11

Now we need to find x

x=-2y-16

x = -2(-11) -16

x =22-16

x = 6

x=6, y= -11

You might be interested in
2. There are 1800 students enrolled at Springfield College, and 65% of them are female.
Kamila [148]

Answer:

a) 1170

b) 35%

c) 630

Step-by-step explanation:

6 0
3 years ago
What is the nearest integer of cube root -12
Softa [21]

Answer:

the cube root of -12 is -2.28942849 which is around -2

Step-by-step explanation:

6 0
2 years ago
The school that molly goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 sen
krek1111 [17]
The cost of a senior citizen ticket is $15 and the cost of a student ticket is $12.

How did I get this?
We know that 6 citizen tickets and 7 student stickers sold for $174 the first day. And 10 citizen tickets and 14 student tickets sold for $318 the second day.

1. create two equations out of this: C= citizen cost per ticket and S = student cost per ticket.

  6C + 7S = $174
10C + 14S = $318

2. Use process of elimination. Multiply the first equation by 2 because we want two variables to cancel out.

-12C - 14S = -$348
10C + 14S = $318
Combine like terms.

-2C = $30
Divide by -2 on both sides. The left side cancels out.

C = $30/-2
C = -$15 (In this case the negative doesn't matter)

C = $15 (cost of senior citizen ticket)

Plug the value of C into any of the two equations so we can get the value of S.

6($15) + 7S = $174
Distribute the 6 into the parenthesis.

$90 + 7S = $174
Subtract both sides by $90 and the left side will cancel out.

7S = $84
Divide both sides by 7.
S = $12

Student ticket: $12
Senior citizen ticket: $15




5 0
3 years ago
Adding decimals. number 8 only.
Karolina [17]

Answer:

69.8509 is your answer

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which graph shows the solution to the system of linear inequalities?<br> y&lt; 2x-5<br> y&gt;-3x + 1
trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

1. For the inequality y First, plot the dotted line y=2x+5 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

2\cdot 0-5=-5

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality y>-3x+1. First, plot the dotted line y=-3x+1 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

-3\cdot 0+1=1>0

so the origin does not belong to the needed part. Shade the part, which does not include origin.

3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.

5 0
3 years ago
Other questions:
  • Jayden filled his 288 gallon pool with water in 6 hours. How many gallons per hour did he use?
    6·1 answer
  • 2 percent of the value of $150,000
    6·1 answer
  • A particle is moving on the perimeter of a circle with radius r=6 with angular speed of π/8 radians per second. After completing
    12·2 answers
  • Assume that both populations are normally distributed. ​a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of s
    7·1 answer
  • 2/2 divided by 5 equals improper
    12·1 answer
  • Please help me… As soon as possible..
    14·1 answer
  • (x+4)(x+2)<br> HELPPP !!
    15·1 answer
  • Which rule best represents the
    7·1 answer
  • A chemist is using 331 milliliters of a solution of acid and water. If 15.5% of the solution is acid, how many milliliters of ac
    9·2 answers
  • A right triangle has side lengths 216 millimeters, 405 millimeters, and 459 millimeters. What are the lengths of the legs and wh
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!