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
pantera1 [17]
3 years ago
15

What is the solution to the system of equations shown below?

Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

Answer:

b., (2, 5, 3).

Step-by-step explanation:

x-­ y + z = 0

-5x + 3y ­- 2z = ­-1

2x ­ - y + 4z = 11

Multiply the first equation by 2

2x - 2y + 2z = 0

Adding this to the second equation we get

-3x  + y = -1 ........... (A)

Multiplying the second equation by 2 and adding to the third equation we get:

-8x + 5y = 9................(B)

Multiplying equation (A) by -5 and adding to equation (B) we get:

7x = 14

x = 2.

Substituting  -3(2) + y = -1  so y = -1 + 6 = 5.

And substituting in the first equation fo x and y:

2 - 5 + z = 0

z = 5-2 = 3.

goblinko [34]3 years ago
5 0

Answer:

  b.  (2, 5, 3)

Step-by-step explanation:

Trying the offered choices seems the fastest way to find the answer. The second choice works in all equations, hence is the solution.

Another strategy you can use is to see if the equations are dependent. Here, it looks like adding twice the third equation to the other two eliminates at least the x- and y-variables. If that eliminates z, then there are infinite solutions. Instead, it gives the equation ...

  7z = 21

  z = 3 . . . . . divide by 7

This answer is consistent with choice B, confirming that answer and eliminating the other choices.

You might be interested in
How many solutions does the nonlinear system of equations graphed below
yan [13]

Answer:

D. zero

Step-by-step explanation:

Since the graphs do not intersect, there are zero solutions.

6 0
3 years ago
Can someone do 4,5,6,and 7 for me
Flauer [41]

Answer:

4.=11   5.=4  6.=17  7.=47    I think

Step-by-step explanation:

an absolute value of a number is never negative so you just make the number positive and go about the equation normally

6 0
3 years ago
Read 2 more answers
Is a= a, b = — 4<br> One solution, no solution or infinite solution
Sphinxa [80]

Answer: Infinite

Step-by-step explanation:

4 0
2 years ago
It’s takes Kim 8 hours to travel a distance of 360 miles at this rate how many miles does Kim travel in 12 hours
olchik [2.2K]

Answer:

540

Step-by-step explanation:

\frac{360}{8}  =  \frac{x}{12}  \\  \\ 45 =  \frac{x}{12}  \\  \\ 12(45 =  \frac{x}{12} ) \\  \\ x = 540

8 0
3 years ago
What is the product of 7/8×1/2
Gelneren [198K]

\frac{7}{8}   \times  \frac{1}{2}

=  \frac{7 \times 4}{8}

=  \frac{28}{8}

=  \frac{ \cancel{28}}{ \cancel{8}}

= \frac{14}{4}

=  \frac{ \cancel{14}}{ \cancel{4}}  =  \frac{7}{2}

<h2>The required answer is 7/2 </h2>

3 0
3 years ago
Other questions:
  • A sample of men's heights was taken and the mean was 68.8 inches. The standard deviation is 2.8 inches. What percent of the men
    9·1 answer
  • A 10-ft-long slide is attached to a deck that is 5 ft high. Find the distance from the bottom of the deck to the bottom of the s
    6·1 answer
  • Martin earned the following scores on his last five tests.
    15·2 answers
  • 2(x + 3)^2 = 50
    7·1 answer
  • Solve equation <br> t + (-8) + 13 = 43
    14·2 answers
  • How much larger is 0.30 than 0.3
    7·1 answer
  • Consider the equation, where p is a real number coefficient.
    13·1 answer
  • What is the slope of the line with points (-5, -4) and (2, 7)?
    13·1 answer
  • F(g(0)) given f(x)=3x-4 and g(x)=2x+7
    11·1 answer
  • Which equation can be used to solve a – 5 = 30?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!