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
pentagon [3]
3 years ago
8

Find the solution to the system of equations 2x+3y+z=20 3y+5z=12 y-5z=4

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer:

(4,4,0) is solution of given systems of equation.

Step-by-step explanation:

We have given a system of equations.

2x+3y+z = 0       eq(1)

3y+5z = 12          eq(2)

y-5z = 4               eq(3)

Adding 5z to both sides of eq(3) ,we get

y-5z+5z = 4+5z

y+0 = 4+5z

y = 4+5z        eq(4)

Putting above value of y in eq (2), we get

3(4+5z)+5z = 12

12+15z+5z = 12

Adding -12 to both sides of above equation,we get

-12+12+15z+5z = -12+12

Adding like terms,we get

0+20z = 0

20z = 0

z = 0

putting the value of z in eq(4), we get

y = 4+5(0)

y = 4+0

y = 4

Putting the value of y and z in eq(1), we get

2x+3(4)+0 = 20

2x +12 = 20

adding -12 to both sides of above equation,we get

2x+12-12 = 20-12

2x = 8

dividing by 2, we get

2x/2 = 8 / 2

x = 4

Hence, the solution is (4,4,0).

podryga [215]3 years ago
3 0

Answer:

x =4 ,y =4 and z =0 is the solution.

Step-by-step explanation:

We shall solve the equations using elimination  method

In equation 2 and 3 we can see that  coefficient of z in both equations  are same with opposite sides , adding equations (2) and (3)

3y+5z = 12

y -5z = 4     adding the equations

___________

4y      = 16

dividing both sides by 4

  y =\frac{16}{4}

 y = 4

Plugging the value of y in equation 2 or equation 3 ,we get

3(4) +5z = 12

12+5z = 12

  5z = 12-12 or 5z =0 gives z =0

plugging y =4 and z =0 in equation 1

2x+3(4)+ 0 = 20

2x+12 = 20

2x =20-12

2x = 8

x = 8 divided by 2 gives

x =4

therefore solution of the system is given by

x=4 , y =4 and z =0

You might be interested in
Complete the proof. What is reason #5?
Darya [45]

Statements

2. right triangle

3. PQ = OP

5. ∆ONP = ∆PQO

Reasons

1. Given

4. Given

5. SAS

<em><u>hope </u></em><em><u>this</u></em><em><u> answer</u></em><em><u> helps</u></em><em><u> you</u></em><em><u> dear</u></em><em><u> </u></em><em><u>take</u></em><em><u> care</u></em><em><u> </u></em><em><u>and </u></em><em><u>may</u></em><em><u> u</u></em><em><u> have</u></em><em><u> a</u></em><em><u> great</u></em><em><u> day</u></em><em><u> ahead</u></em><em><u>!</u></em>

4 0
2 years ago
a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32
maria [59]

Answer:

8 for 2.56

Step-by-step explanation:

THE ANSWER IS IN CENTS.

2.56 ÷ 8 = 0.32 per ear

4.23 ÷ 12 = 0.36 per ear

3 0
2 years ago
What do you know to be true about the values of p and q?
ss7ja [257]

Answer:

B

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

p = 180° - (80 + 20)° = 180° - 100° = 80° and

q = 180° - (45 + 55)° = 180° - 100° = 80°

Thus p = q → B

7 0
3 years ago
Please help i’m struggling bad
tino4ka555 [31]

Answer:

53

Step-by-step explanation:

86 = 2x - 20

<u>+20       +20</u>

<u>106 </u>= <u>2x</u>

2       2

53 = x

7 0
3 years ago
Read 2 more answers
A pet store has 5 tanks of fish. Each tank has the same number of fish. The store has 50 fish total. How many fish are in each t
Romashka-Z-Leto [24]

answer : 10 fish in each tank because 10 time 5 equals 50 and there 5 tanks sotaht mean 50 divided by 5 it will be 10 fish

8 0
2 years ago
Read 2 more answers
Other questions:
  • Can someone write the point slope equation
    8·1 answer
  • 4(3+8)-8^2÷32<br>what is the answer?show work ​
    9·1 answer
  • Solve the following equation for x: 9x - 2<br> = 11x + 5
    13·2 answers
  • Which is the best estimate of the distance between the point (-25, 10) and the origin?
    14·2 answers
  • Write an equation of the linear relationship in slope-intercept form. I need help on this question, I don’t know if it’s 3/2x+80
    8·1 answer
  • How large must a group of people be in order to guarentee that there are at least two people in the group whose birthdays fall i
    7·1 answer
  • A 28 foot ladder is leaning against a building. If the
    5·1 answer
  • Chan Hee bought 9.8 pounds of coffee that cost $7.45 per pound. How much did he spend on coffee?
    8·1 answer
  • Let f(x) = 5x + 2 and g(x) = x² + 2x + 5. Evaluate the following.
    13·1 answer
  • Who wants free gram.m.arl.y pre.mi.um acco.unt
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!