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Maslowich
3 years ago
13

What is the solution to the system of equations below? HELP!!!! y = negative one-fourth x + 2 and 3 y = negative three-fourths x

minus 6 no solution infinitely many solutions (–16, 6) (–16, –2)

Mathematics
2 answers:
Oxana [17]3 years ago
5 0

Answer:

No solution

Step-by-step explanation:

Step 1: Write out equations

y = -1/4x + 2

3y = -3/4x - 6

Step 2: Substitution

3(-1/4x + 2) = -3/4x - 6

Step 3: Distribute

-3/4x + 6 = -3/4x - 6

From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.

Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.

Goryan [66]3 years ago
4 0

Answer:

No solution

Step-by-step explanation:

y = -1/4x + 2

3y = -3/4x - 6

Plug y as -1/4x + 2 in the second equation.

3(-1/4x + 2) = -3/4x - 6

-3/4x + 6 = -3/4x - 6

-3/4x + 3/4x = -6 -6

0 = -12

No solution.

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How do I solve these?
makkiz [27]

1) The number is 12.

2) There are 7 passengers in a row.

3) Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

<h3>How to resolve word problems involving linear equations</h3>

In this question we find word problems involving linear equations, in each case we need to understand the statement, derive mathematical equations and looking for corresponding solutions by algebraic means. Now we proceed to solve for each case:

Case 1

A variable is found herein and we need to resolve on this linear equation: (x - A number)

(x + 8) / 4 = 1 + (1 / 3) · x

(1 / 4) · x + 2 = 1 + (1 / 3) · x

1 = (1 / 12) · x

x = 12

The number is 12.

Case 2

A variable is found herein and we need to resolve on this linear equation: (x - Number of passengers per row)

30 · x + 12 = 222

30 · x = 210

x = 7

There are 7 passengers in a row.

Case 3

Three variables are found herein and we need to resolve on these linear equations: (x - Water consumed by Carol, y - Water consumed by Xavier, z - Water consumed by Keela)

z = 2 · x                        (1)

y = z + 100                   (2)

x + y + z = 3000           (3)

Finally, we find the solution of this system:

x + (z + 100) + z = 3000

x + 2 · z = 2900

x + 4 · x = 2900

5 · x = 2900

x = 580 mL

z = 1160 mL

y = 1260 mL

Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

To learn more on systems of linear equations: brainly.com/question/21292369

#SPJ1

3 0
1 year ago
A “stick” object of height 10 cm is standing in front of a point X–ray source at a distance of 50 cm from the source. The detect
blagie [28]

Answer:

40 cm.

Step-by-step explanation:

Given,

height of the object = 10 cm

Distance of the object from the X-ray= 50 cm

Distance of detector from the source = 2 m = 200 cm

Height of the image, h = ?

Now,

\tan \theta = \frac{P}{B}

\tan \theta = \frac{10}{50}

\tan \theta = \frac{1}{5}

Again applying

\tan \theta = \frac{P}{B}

\frac{1}{5} = \frac{h}{200}

h = 40 cm

Hence, height of the image is equal to 40 cm.

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2 years ago
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spin [16.1K]

Answer:

Step-by-step explanation:

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AysviL [449]

Answer:

Step-by-step explanation:

The first choice is correct

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