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3 years ago

What is the solution for the system of equations {9x+8y=3 6x−12y=−11?

Mathematics

1 answer:

lions [1.4K]3 years ago

6 0

Answer:

( - $\frac{1}{3}$ , $\frac{3}{4}$ )

Step-by-step explanation:

Given the 2 equations

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

To eliminate the y- term multiply (1) by 1.5

13.5x + 12y = 4.5 → (3)

Add (2) and (3) term by term

(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)

19.5x = - 6.5 ( divide both sides by 19.5 )

x = $\frac{-6.5}{19.5}$ = - $\frac{1}{3}$

Substitute this value into either of the 2 equations and solve for y

Using (1), then

- 3 + 8y = 3 ( add 3 to both sides )

8y = 6 ( divide both sides by 8 )

y = $\frac{6}{8}$ = $\frac{3}{4}$

Solution is (- $\frac{1}{3}$ , $\frac{3}{4}$ )

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3 years ago

Write an expression with a negative exponent that has a value between 0 and 1:2

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Edit to reflect comments:

3^-1=1/3
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3 years ago

Factor completely 8x5 2x4 4x2. Prime 2(4x5 x4 2x2) 2x(4x4 x3 2x) 2x2(4x3 x2 2).

Alecsey [184]

The complete factor of the expression $\rm 8x^5 + 2x^4 + 4x^2$ is $\rm 2x^{2} (4x^3 + x^2 + 2 )$ correct option is D.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is $\rm 8x^5 + 2x^4 + 4x^2$ .

To solve the expression properly we have to take common (2x²). Then we have

$\rm 8x^5 + 2x^4 + 4x^2\\\\2x^{2} (4x^3 + x^2 + 2 )$

The factor is $\rm 2x^{2} (4x^3 + x^2 + 2 )$ .

More about the factorization link is given below.

brainly.com/question/6810544

4 0

2 years ago

If I can walk 9673.6 meters in 5 hours. How far can I walk in 70 minutes. ( I need the work)

den301095 [7]

First, convert 5 hours into minutes:

5 hours 60 min

------------ * --------------- = 300 min

1 1 hr

Next, find the unit rate in m/min:

9673.6 m

--------------- = 32.24 m/min

300 min

Now find the distance you can walk in 70 minutes at this rate:

32.24 m

------------- * 70 min = 2247 meters (answer)

1 min

You could walk 2247 meters (to the nearest meter) in 70 minutes.

6 0

3 years ago

Mr wells drew a plan for a rectangle dog run three of the vertices are (2 1/3, 7 1/2), (12, 7 1/2), and (12, 1) what are the coo

melisa1 [442]

Answer:

Step-by-step explanation:

let 4th fourth vertex be D (x,y)

A(2 1/3,7 1/2),B(12, 7 1/2),C(12,1)

or A(7/3,15/2),B(12,15/2),C(12,1)

Mid-point of diagonal AC is P((7/3+12)/2,(15/2+1))

Mid -point of diagonal BD is P((12+x)/2,(15/2+y)/2)

(Because mid -point of diagonal is same.)

(12+x)/2=(7/3+12)/2

12+x=7/3+12

x=7/3

(15/2+1)/2=(15/2+y)/2

15/2+1=15/2+y

y=1

so fourth vertex is (7/3,1)

8 0

3 years ago