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4 years ago

What are the solutions on the following system?

Mathematics

1 answer:

Oksana_A [137]4 years ago

3 0

2x+y = -5. Solve this for y. We get y = -2x - 5. Find y^2: 4x^2 + 20x + 25. Substitute 4x^2 + 20x + 25 for y^2 in the first equation:

x^2 + 4x^2 + 20x + 25 = 25

Then 5x^2 + 20x = 0, so that x = 0. Subst. 0 for x in the 2nd eqn and find the value of y. Write your solutions as shown above: ( , ) and ( , ).

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Kitty [74]

69 pounds of trash I think

7 0

2 years ago

Read 2 more answers

If 5x=y+75x=y+7, is (x−y)>0(x−y)>0? (1) xy=6xy=6 (2) xx and yy are consecutive integers with the same sign

crimeas [40]

Answer:

No. If 5x=y+7 then xy=6 and (2) x and y are consecutive integers with the same sign. for xy=6

Step-by-step explanation:

<u>For the sake of clarity:</u>

If 5x=y+7 then (x – y) > 0?

Alternatives:

(1) xy = 6

(2) x and y are consecutive integers with the same sign

1) Consider (x-y)>0 as true:

$xy=6$ Numbers like, 3*2, 6*1, etc..

$5x=y+7\Rightarrow \frac{5x}{5}=\frac{y+7}{5}\Rightarrow x=\frac{y+7}{5}\\Plugging\: in:\:\\\frac{y+7}{5}-y>0\Rightarrow \frac{y+7-5y}{5}>0\Rightarrow \frac{-4y+7}{5}>0\Rightarrow \frac{-4y+7}{5}*5>0*5\\-4y+7>0 *(-1)\Rightarrow 4y-7\frac{7}{4}\therefore y$

Since y in this hypothetical case is lesser then let's find x, let's plug in y 1 for a value lesser than 1.75:

Then xy≠6 and no and 8/5 (1.75) is a rational number. What makes false the second statement about consecutive integers.

So this is a Contradiction. (x-y) >0 is not true for 5x=x+7.

2) Consider:

x and y are consecutive integers with the same sign is true.

Algebraically speaking, two consecutive integers with the same sign can be written as:

$y=x+1$

Plugging in the first equation (5x=y+7):

5x=x+1+7⇒4x=8 ⇒x =2

Since y=3 then x=2 because:

$3=x+1\\3-1=x+1-1\\2=x \Rightarrow x=2$

3) Testing it

$5x=y+7\\\\5(2)=(3)+7\\\\10=10\:True$

$xy=6\\2*3=6\\6=6$

5 0

4 years ago

Can somebody helpp ???

podryga [215]

Answer:

I think 4

Step-by-step explanation:

If FG = 2 and EF looks very similar, EG would be 4 and EH=8, 8-4=4

3 0

3 years ago

An unknown number y is 20 more than an unknown number x. The number y is also x less than 2. The equations to find x and y are s

KatRina [158]

The graph is given below. Then the intersection point will be (-9, 11).

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

An unknown number y is 20 more than an unknown number x.

The number y is also x less than 2.

The equations to find x and y are shown below:

y = x + 20 ...1

y = −x + 2 ...2

Add both equations, then we have

2y = 22

y = 11

Then put the value of y in equation 1, then we get

11 = x + 20

x = 11 - 20

x = -9