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1 year ago

Use elimination to solve the system. 6x - 4y = 4 3x - 2y = 1

Mathematics

1 answer:

PtichkaEL [24]1 year ago

4 0

The equations intersect at an infinite number of points. Infinite number of solutions.

<h3>What is elimination method?</h3>

According to the description of the elimination approach, it involves removing a phrase that contains any of the variables from the equation in order to simplify the calculations. To achieve this, multiply or divide a number by the equation(s) until all the variable terms' coefficients are the same.

The term is then eliminated or removed from the result by adding or subtracting from both equations. Because of this, the addition method is another name for the elimination approach.

Therefore,

Multiply each equation by the value that makes the coefficients of y opposite.

(6x - 4y = 4) - [2 × (3x - 2y = 1)]

= [(6x - 4y = 4) - (6x - 4y = 2)]

= 0 = 2

Hence, the equations intersect at an infinite number of points. Infinite number of solutions.

To learn more about elimination method, refer to

brainly.com/question/28405823

#SPJ1

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There is a 60% chance of rain on Saturday and a 20% chance of rain on Sunday. Assume that the event that it rains on Saturday is

Vsevolod [243]

Answer:

$0.56$

Step-by-step explanation:

GIVEN: There is a $60\%$ chance of rain on Saturday and a $20\%$ chance of rain on Sunday. Assume that the event that it rains on Saturday is independent of the event that it rains on Sunday.

TO FIND: What is the probability that it rains on exactly one day over the weekend.

SOLUTION:

Probability of rain on Saturday $P(A)=0.6$

Probability of not raining on Saturday $P(A^{'}) =1-0.6=0.4$

Probability of rain on Sunday $P(B)=0.2$

Probability of not raining on Saturday $P(B^{'})=1-0.2=0.8$

Probability of raining exactly one day over the weekend

$=\text{Probability it rains only on Saturday}+\text{Probability it rains only on Sunday}$

$=P(A)\times P(B^{'})+P(B)\times P(A^{'})$

$=0.6\times0.8+0.2\times0.4$

$=0.56$

Hence probability of raining exactly only one day over the weekend is $0.56$

5 0

4 years ago

What is the anwer to (1/8)^1/3

mojhsa [17]

Answer:

1/8 ^ 1/3 =

1/2 or 0.5

6 0

3 years ago

Find the value of x.

goldfiish [28.3K]

You have too put a picture.. X’s value may be anything without context

4 0

4 years ago

Suppose you and a partner want to make a recipe for 25 friends. Adjust the amount of each ingredient below to 25 servings.

mel-nik [20]

Well, we are starting with 100 servings, and we're trying to find the amount of ingredients necessary to create 25 servings. To do this, we must first simply divide 25 by 100 to see what the ratio would be, and when we do this, we can see that

25 / 100 = $\frac{25}{100}$ = $\frac{1}{4}$

Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.

In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.

1.) 100 * $\frac{1}{4}$ = $\frac{100}{1} * \frac{1}{4}$ = $\frac{100 * 1}{1 * 4}$ = $\frac{100}{4}$ = 25

2.) 72 * $\frac{1}{4}$ = $\frac{72}{1} * \frac{1}{4}$ = $\frac{72 * 1}{1*4}$ = $\frac{72}{4}$ = 18

3.) 14 * $\frac{1}{4}$ = $\frac{14}{1} * \frac{1}{4}$ = $\frac{14 *1}{1*4}$ = $\frac{14}{4}$ = 3 $\frac{1}{2}$

4.) 6 * $\frac{1}{4}$ = $\frac{6}{1} * \frac{1}{4}$ = $\frac{6*1}{1*4}$ = $\frac{6}{4}$ = <span>1 $\frac{1}{2}$ </span>

5.) 24 * $\frac{1}{4}$ = $\frac{24}{1} * \frac{1}{4}$ = $\frac{24*1}{1*4}$ = $\frac{24}{4}$ = 6

6.) 80 * $\frac{1}{4}$ = <span> $\frac{80}{1} * \frac{1}{4}$ = $\frac{80*1}{1*4}$ = $\frac{80}{4}$ = <span>20</span>

</span>7.) 50 * $\frac{1}{4}$ = $\frac{50}{1} * \frac{1}{4}$ = $\frac{50*1}{1*4}$ = $\frac{50}{4}$ = 12 $\frac{1}{2}$

And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)

5 0

3 years ago

Read 2 more answers

What is the area of this figure for

Galina-37 [17]

To solve for its area, we can break the figure apart.

If we splice the figure horizontally, we get a rectangle that is 30 inches long and 18 inches wide and a rectangle that is 30 inches wide and 10 inches in length.

If we solve for the two rectangles separately, we can add them to get the total area of this figure.

The area of rectangle a is 540 sq inches because 30 x 18 = 540.

The area of rectangle b is 300 sq inches because 30 x 10 = 300.

300 + 540 = 840.

The area of this figure is 840 square inches.

Hope this helps! Have an awesome day :)

5 0

4 years ago