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3 years ago

What is the solution to the system of linear equations?

Mathematics

2 answers:

Nataly [62]3 years ago

6 0

Answer:

{x = 8 , y = 1

Step-by-step explanation:

Solve the following system:

{2 x + 4 y = 20 | (equation 1)

{3 x + 2 y = 26 | (equation 2)

Swap equation 1 with equation 2:

{3 x + 2 y = 26 | (equation 1)

{2 x + 4 y = 20 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x + 2 y = 26 | (equation 1)

{0 x+(8 y)/3 = 8/3 | (equation 2)

Multiply equation 2 by 3/8:

{3 x + 2 y = 26 | (equation 1)

{0 x+y = 1 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = 24 | (equation 1)

{0 x+y = 1 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 8 | (equation 1)

{0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 8 , y = 1

KiRa [710]3 years ago

6 0

Answer:

x = 8 , y = 1

Step-by-step explanation:

Verified correct with K12 test.

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Greg is training for the upcoming basketball season. His schedule this week allows him to complete at most 8 training sessions.

Sav [38]

Answer:

$\left\{\begin{array}{l}x+y\le360\\ \\\dfrac{x}{45}+\dfrac{y}{35}\le 8\end{array}\right..$

Step-by-step explanation:

Let x minutes be the time spent on skills and y minutes be the time spent on conditioning that Greg can complete this week.

1. To avoid excess fatigue, his coach requires Greg to spend no more than 360 minutes training in any week, then

$x+y\le 360.$

2. When Greg trains, he either spends 45 minutes on skills or 35 minutes on conditioning. If Greg spends x minutes on skills, then $\dfrac{x}{45}$ is the number of skills training sessions. If Greg spends y minutes on conditioning, then $\dfrac{y}{35}$ is the number of conditioning training sessions. His schedule this week allows him to complete at most 8 training sessions, then

$\dfrac{x}{45}+\dfrac{y}{35}\le 8.$

Therefore, the following system of inequalities can be used to determine the time spent on skills, x, and the time spent on conditioning, y, that Greg can complete this week

$\left\{\begin{array}{l}x+y\le360\\ \\\dfrac{x}{45}+\dfrac{y}{35}\le 8\end{array}\right..$

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3 years ago

Read 2 more answers

THIS IS WORTH 17 POINTS Question 1: Picture Question 2: Picture

QveST [7]

Question #1:

The surface area of a prism is the area of the outside of the prism, the volume is how much the inside of the container holds.

Let's find the volume and surface area of the prism given.

V = lwh

Plug in what we know:

V = (18.4)(10.9)(8.7)

Multiply:

V = 1744.872 m^3

SA = 2(wl + hl + hw)

Plug in what we know:

SA = 2((10.9)(18.4) + (8.7)(18.4) + (8.7)(10.9))

Multiply:

SA = 2(200.56 + 160.08 + 94.83)

Add:

SA = 2(455.47)

Multiply:

SA = 910.94 m^2

Now find the difference:

Note that these are different measurements.

The volume is measured in cubic meters and the surface area is measured in square meters.

910.94 m^2 = 27493.793 m^3

Find the difference:

27493.793 m^3 - 1744.872 m^3 = 25748.921

Question #2:

The formula for the surface area of a rectangular prism is:

SA = 2(wl + hl + hw)

Plug in what we know:

SA = 2((5)(6) + (3)(6) + (3)(5))

This is the equation we use to find the surface area of this figure.

Multiply:

SA = 2(30 + 18 + 15)

Add:

SA = 2(63)

Multiply:

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4 years ago

Find the value of m and b for the equation 0=-9x+5y+25

lukranit [14]

Answer:

X= -5

Y=-2.7

Step-by-step explanation:

YOU DO THIS BY SUBTRACTING 25 ON THE RIGHT SIDE TO THE LEFT ONLY LEAVING YOU WITH VARIABLES.

THEN YOU SUBSTITUTE ZERO INTO Y TO FIND X THEN SUBTITUTE ZERO INTO X TO FIND Y

BTW SUBSTITUTE ONE INTO THE VARIABLE YOU ARE FINDING

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