All categories

4 years ago

Solve the system.

Mathematics

1 answer:

patriot [66]4 years ago

5 0

Answer:

D.(2,-1,-1)

Step-by-step explanation:

-a+4b+2c=-8

3a+b-4c=9

b = -1

Substitute b=-1 into the other equations

-a -4 +2c = -8

3a -1 -4c =9

Multiply the first equation by 2 so we can eliminate c

-2a -8 +4c = -16

Add this to the second equation

-2a -8 +4c = -16

3a -1 -4c =9

-----------------

a -9 = -7

Add 9 to each side

a-9+9 = -7+9

a =2

b=-1

Now we need to find c

-a +4b +2c = -8

-2 -4 +2c = -8

-6+2c = -8

Add 6 to each side

-6+6 +2c = -8+6

2c = -2

Divide by 2

2c/2 = -2/2

c=-1

(2,-1,-1)

You might be interested in

What property is 5x6x7=5x7x6

stich3 [128]

Commutative Property

5 0

4 years ago

Read 2 more answers

What is the value of w?

natulia [17]

This on is very easy go to my website so i can explain it better for you

https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w

Hope this

3 0

4 years ago

Plz help.. I asked this question on English, but no one answered.

enyata [817]

Answer:

Step-by-step explanation:

A. abject - 2. wretched

B. congenial - 6. friendly

C. deliberately - 7. thoughtfully

D. impetuous - 3. impulsive

E. misgiving - 4. doubt

F. perturbation - 5. disturbance

G. pervade - 8. permeate

H. transgress - 1. err

Hope this helps :)

4 0

4 years ago

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

4 years ago

Read 2 more answers

What is 1.16 as afraction

saul85 [17]

Answer:

23.2/20

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers