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2 years ago

Solve using elimination. -4x + 7y = -1 6x - 7y = 5

Mathematics

2 answers:

Dovator [93]2 years ago

7 0

Answer:

(2,1)

Step-by-step explanation:

Let's solve your system by elimination.

6x−7y = 5;−4x+7y=−1

6x−7y=5

−4x+7y=−1

Add these equations to eliminate y:

2x = 4

Then solve2x = 4for x:

2x = 4

(Divide both sides by 2)

x = 2

Now let's plug x in to solve for y.

6x - 7y = 5

6(2) - 7y = 5

12 - 7y = 5

subtract 12 on both sides.

-7y = -7

divide both sides by -1

y = 1

irakobra [83]2 years ago

6 0

Answer:

(4,-1)

Step-by-step explanation:

x is 4 y is -1

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3 years ago

For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo

slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

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Thus, when p=3 D=11 and, according to the problem when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of the demand linear equation . It can be computed through the formula

$b=\frac{y2-y1}{x2-x1}$ . equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

$b=\frac{19-11}{1-3} =\frac{8}{-2}$

b=-4

Now we can find the value of intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

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