Mathematics, 24.02.2020 05:13 abemorales

Select the correct answer from the drop-down menu.
Find the solution set for the system of equations.

9x + 5y = 28

5x + 9y = 56

The solution set for the system of equations is 1. (-5/9, 0) 2. (-1/2, 13/2), 3. (0, 11/2), 4. (3, 9/2) .

Select the correct answer from the drop-down menu. Find the solution set for the system of equations

Answers: 1

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Answer from: demarcuswiseman

The answer to your question is 2. (-1/2, 13/2)

Step-by-step explanation:

Equation 1 9x + 5y = 28

Equation 2 5x + 9y = 56

Process

- Solve by Elimination

- Multiply equation 1 by 5 and equation 2 by -9

5(9x + 5y = 28)

-9(5x + 9y = 56)

45x + 25y = 140

-45x - 81y = -504

0 -56y = -364

y = -364/-56

y = 13/2 = 6.5

- Find x

9x + 5(13/2) = 28

9x + 65/2 = 28

9x = 28 - 65/2

9x = -9/2

x = (-9/2)/9

x = -1/2

Answer from: mollie053005

2. $(-\frac{1}{2},\frac{13}{2})$

Step-by-step explanation:

Given Equations:

9x + 5y = 28 Equation:1

5x + 9y = 56 Equation:2

Multiplying Equation:1 by 5 and Equation:2 by 9, gives

45x+25y=140 Equation:3

45x+81y=504 Equation:4

Using Elimination Method, Subtract Equation:3 from Equation:4

45x+81y-(45x+25y)=504-140

45x+81y-45x-25y=504-140

56y=364

$y=\frac{364}{56}\\\\ y=6.5$ or $y=\frac{13}{2}$

Putting, the value of 'y' in Equation:1

$9x + 5y = 28\\9x + 5(6.5) = 28\\9x+32.5=28\\9x=28-32.5\\9x=-4.5\\x=-\frac{4.5}{9} \\x=-0.5$

Or , $x=-\frac{1}{2}$

The solution for the set of equations is: $(-\frac{1}{2},\frac{13}{2})$

Answer from: Quest

we know that

applying the law of sines

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is ≈29°

part b) the measure of angle k could also be

(180-29)=151°

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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