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Vinvika [58]
3 years ago
13

A system of equations has infinitely many solutions. If 2y - 4x = 6 is one of the equations, which could be the other

Mathematics
2 answers:
stira [4]3 years ago
8 0

Answer:

C. –y = –2x – 3

Step-by-step explanation:

edg. unit test

Serjik [45]3 years ago
6 0

Answer:

-y = -2x - 3

Option 3

Step-by-step explanation:

When equations are equivalent, they will have infinitely many solutions.

If you want to find an equivalent equation, you can <u>multiply/divide every</u> term in the equation by the same number. You can also <u>rearrange</u> the equation.

Since the options mostly have "y" by itself, start by <u>rearranging</u> to isolate "y" in the given equation.

Move all the other numbers to the right of the equal sign except for "y". To move a number, apply its reverse operation to the entire equation.

Do reverse operations in reverse BEDMAS order.

2y - 4x = 6                Move "-4x" first. It's reverse is +4x.

2y - 4x + 4x = 6 + 4x

2y = 6 + 4x                Move the "2" in 2y. Divide the whole equation by 2.

2y/2 = 6/2 + 4x/2

y = 3 + 2x                  Rearrange to look like the answer choices.

y = 2x + 3

This equation looks like option 3 except every term has a different negative/positive.

y = 2x + 3         -y = -2x - 3

We can <u>multiply every term</u> by -1.

y = 2x + 3

y*-1 = 2x*-1 + 3*-1

-y = -2x + (-3)                Negative and positive make a negative

-y = -2x - 3                     Same as option 3

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-10 + 10у + -3y +7<br> DOES ANYONE KNOW THE ANSWER????????????
Leno4ka [110]

Answer:

The answer is 30.

Step-by-step explanation:

Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.

8 0
2 years ago
Find the coordinates of the midpoint of (x,y) for A(9,1) and B(3,7)
tekilochka [14]

9514 1404 393

Answer:

  (6, 4)

Step-by-step explanation:

The midpoint is found as the average of the coordinates of the end points.

  M = (A +B)/2

  M = ((9, 1) +(3, 7))/2 = (9+3, 1+7)/2 = (12, 8)/2

  M = (6, 4)

The midpoint of segment AB is (x, y) = (6, 4).

5 0
3 years ago
Two dice are tossed. The probability that the total score is a prime number is:​
andrew11 [14]

Step-by-step explanation:

50/50 it's random I think but I learned that in science

8 0
3 years ago
Read 2 more answers
Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.
Mice21 [21]

Answer:

<em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

Step-by-step explanation:

Making factors of 8y^{6}+ 144y^{5}+ 640y^{4}

Taking 8y^{4} common:

\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)

Using <em>factorization</em> method:

\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times  4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)

Now, Making factors of 2y^{4} + 40y^{3} + 200y^{2}

Taking 2y^{2} common:

\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)

Using <em>factorization</em> method:

\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10)        ............ (2)

The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is 2y^{2} (y+ 10).

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

HCF \times LCM = p \times q

Using equations <em>(1)</em> and <em>(2)</em>: \Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)

Hence, <em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

5 0
2 years ago
Paul lands a home mortgage of $58,200 at a
qwelly [4]

Answer:

$72,100

Step-by-step explanation:

To calculate the total principal+interest payment, you can use the formula to find the future value:

FV=PV(1+i)^n

FV= Future value

PV= Present value= $58,200

i= Interest rate= 7.40%

n= Number of periods of time= 3 years

Now, you can replace the values on the formula:

FV=58,200*(1+0.0740)^3

FV=58,200*(1.0740)^3

FV=72,100

According to this, the answer is that the  total principal + interest  payment will be $72,100.

8 0
2 years ago
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