All categories

2 years ago

Y = 2x + 4 6x – 3y = -12 System by substitution 10 points

Mathematics

2 answers:

____ [38]2 years ago

8 0

Answer:

Infinitely many solutions

Step-by-step explanation:

$y=2x+4\\ [2] 6x-3y=-12$ < ------------- Linear equations given

Equations Simplified or Rearranged :

$y - 2x = 4 \\ [2] -3y + 6x = -12$

Solve by Substitution :

// Solve equation [1] for the variable $y$

$[1] y = 2x + 4$

// Plug this in for variable $y$ in equation $[2]$

$[2] -3*(2x+4) + 6x = -12$

[2] $0 = 0 =>$ Infinitely many solutions

Burka [1]2 years ago

5 0

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

You might be interested in

Leah and 15 of her friends want to share 11 cookies equally. What decimal is equivalent to the fraction of a cookie each will ge

mote1985 [20]

Answer:

0.688

Step-by-step explanation:

There are 16 people total and 11 cookies.

This can be represented as:

$\frac{16}{11}$ ,

which converted into a decimal is:

0.688

8 0

1 year ago

HELLPPPP !!!!!!!!!!!

balu736 [363]

Answer:

the answers are options 1, 2, and 5.

3 0

3 years ago

Graph the equation y=-X – 2 using the intercepts.

ahrayia [7]

Answer:

y intercept = (0,-2)

x intercept = (-2,0)

Step-by-step explanation:

For y intercept, plug 0 for x

y = (0) - 2

y = -2

y intercept = -2

For x intercept, plug 0 for y

(0) = -x - 2

Move -2 to other side

-x = 2

Since x is negitave, make 2 negitave

x = -2

x intercept = -2

4 0

2 years ago

Find the distance between (2.0) and (8, -3)

zvonat [6]

Answer:

6, 3

Step-by-step explanation:

4 0

2 years ago

A package of 10 batteries is checked to determine if there are any dead batteries. Four batteries are checked. If one or more ar

frutty [35]

Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

n=4 (the amount of batteries picked for the sample).
p=3/10=0.3 (the proportion of dead batteries).
k≥1 (the amount of dead batteries in the sample needed to not sell the package).

The probability of having k dead batteries in the sample is:

$P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}$

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

$P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76$

8 0

2 years ago