All categories

2 years ago

Use linear combination method to solve this systemof equations. What is the value of x?

Mathematics

1 answer:

lys-0071 [83]2 years ago

7 0

Using the linear combination method, we can add 3x+7y=31 and -3x-2y=-1 together, which makes 5y=30.

Just divide both sides by 5, and your answer will be y = 6.

To solve for x, just substitute 6 in y in either equation and solve for x:

$-3x-2(6)=-1\\ -3x-12=-1\\ -3x=11\\ x=-\frac{11}{3} =-3\frac{2}{3}$

In short, the correct answer is B. -3 2/3

You might be interested in

The highest elevation in a small country occurs on a mountain 1,232 meter above sea level, while the lowest elevation in the sam

Arte-miy333 [17]

Answer: 1,259 meters.

Step-by-step explanation:

GIven: The highest elevation in a small country occurs on a mountain above sea level = 1,232 meter

The lowest elevation in the same country occurs below sea level = -27 meters

The difference in elevation between the highest and lowest points = Highest - lowest

= 1232 - (-27) meters

= 1232+27 meters [ (-)(-)=(+) ]

= 1259 meters

Hence, the difference in elevation between the highest and lowest points = 1,259 meters.

6 0

2 years ago

HELP!

pashok25 [27]

Multiplying both sides of <span>−1/3x≤−6 by -3 results in "x is equal to or greater than 18."

Note that multiplying such an inequality requires reversing the direction of the inequality symbol.

I subst. 18 for x in </span><span>−1/3x≤−6 as a check, and found that the resulting inequality is true.</span>

7 0

3 years ago

Read 2 more answers

A paper air plane looking polygon with sides of 5 5 and 8 what is the area

VARVARA [1.3K]

If it has 3 sides then it's a triangle.
Using the formula $A= \sqrt{s(s-a)(s-b)(s-c)}$
where $s= \frac{a+b+c}{2}$
and a=5 b=5 c=8

∴ $s= \frac{5+5+8}{2} =9$
$area= \sqrt{9(9-5)(9-5)(9-8)}$
$area= \sqrt{144} = 12units^{2}$

8 0

2 years ago

Area of a Triangle

jek_recluse [69]

Answer:

3.51 (round to the nearest hundreds)

Step-by-step explanation:

PART A

slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5

equation of the line passing through B and perpendicular to AC:

y-3 = 1/5(x-3)

y-3 = 1/5x -3/5

y = 1/5 x - 3/5 + 3

y = 1/5 x + (-3+15)/5

y = 1/5 x + 12/5

PART B

line that passes through the points A and C

y-1 = -5(x-2)

y = -5x+10 + 1

y = -5x + 11

Interception of the lines

y = 1/5x + 12/5

y = -5x + 11

-5x + 11 = 1/5x + 12/5

-25x +55 = x + 12

26x = 43

x = 43/26

y = -5(43/26) + 11

y= -215/26 + 11

y = (-215+286)/26 = 71/26

D (1.65, 2.73)

PART C

AC = $\sqrt{(1-2)^2 + (6-1)^2} = \sqrt{1 + 25} = \sqrt{26}$ = 5,09902

BD = $\sqrt{(3-1.65)^2 + (3-2.73)^2}$ = 1,376735

PART D

AREA = (5,09902 * 1.376735)/2 = 3,509999

8 0

3 years ago

I don't need anything bu this won't get out of my face

dezoksy [38]

Answer:

huh okay well hi

Step-by-step explanation:

may the force be with u :)

5 0

2 years ago