Mathematics, 07.11.2019 02:31 halimomohamed

Classify the following system of equations.

8x - 12y = -9

18x + 27y = 21

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Answer from: ginger87771

The following system of equations 8x - 12y = -9 and 18x + 27y = 21 are intersecting lines

Solution:

Given, system of equations are 8x – 12y = - 9 ⇒ (1)

And 18x + 27y = 21 ⇒ 6x + 9y = 7 ⇒ (2)

We have to classify the above given system of equations

For the we have to find the solution for the given system of equations

So, now, multiply (1) with 9 and (2) with 12, such that both equations will have same coefficients for y terms, such that, it will be easier to find solution while calculations by cancelling.

72x – 108y = - 81

72x + 108y = 84

(+) ---------------------------

144x + 0y = 3

144x = 3

$x = \frac{3}{144} = \frac{1}{48}$

Substitute "x" value in (2)

$\begin{array}{l}{\rightarrow 6\left(\frac{1}{48}\right)+9 y=7} \\\\ {\rightarrow \frac{1}{8}+9 y=7} \\\\ {\rightarrow 1+72 y=56} \\\\ {\rightarrow 72 y=55} \\\\ {\rightarrow y=\frac{55}{72}}\end{array}$

So, given system of equations has 1 solution $\left(\frac{1}{48}, \frac{55}{72}\right)$ which means that, they are intersecting lines.

Hence, the given system of equations are classified as intersecting lines

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

answer: y = 3/2 x - 3

y = 1/8 x - 3/4 that would be your correct option

step-by-step explanation: w

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Classify the following system of equations.

8x - 12y = -9

18x + 27y = 21...

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