All categories

3 years ago

2x+3y=12 x-y=6 solve the following system equations

Mathematics

1 answer:

IgorC [24]3 years ago

5 0

Answer:

(6, 0)

Step-by-step explanation:

There are a few different methods to solve system of equations. For this problem, you can use substitution by solving one of the equations for a variable and then substituting this expression into the other equation to solve for the remaining variable:

x - y = 6, add 'y' to both sides to solve for 'x': x - y + y = 6 + y or x = 6 + y

Using the expression '6 + y' for the value of 'x' in the second equation:

2x + 3y = 12 or 2(6+y) + 3y = 12 or 12 + 2y + 3y = 12 or 12 + 5y = 12

Subtract 12 from both sides: 12 + 5y - 12 = 12 - 12 or 5y = 0 so y = 0

Now that you know the value of 'y', you can solve for 'x':

x = 6 + 0 or x = 6

Put the values of 'x' and 'y' into an ordered pair: (6,0).

You might be interested in

Need help checking my answers

kifflom [539]

Answer:

Step-by-step explanation:

_______

Good evening ,

______________

Look at the photo below for the answer,

6 0

3 years ago

Subtract 5x²-7x-6 from 9x² + 3x-4

Kobotan [32]

Answer:

the answer is 4 x ^2 + 10 x + 2

Step-by-step explanation:

hope this helps you out :) plz mark brainiest

7 0

3 years ago

What is 4 3/8 - 2 2/3

docker41 [41]

6/3 + 2/3 = (6 + 2)/3:
4 + 3/8 - (6 + 2)/3

6 + 2 = 8:
4 + 3/8 - 8/3

Put 4 + 3/8 - 8/3 over the common denominator 24. 4 + 3/8 - 8/3 = (24×4)/24 + (3×3)/24 + (8 (-8))/24:
(24×4)/24 + (3×3)/24 + (8 (-8))/24

24×4 = 96:
96/24 + (3×3)/24 + (8 (-8))/24

3×3 = 9:
96/24 + 9/24 + (8 (-8))/24

8 (-8) = -64:
96/24 + 9/24 + (-64)/24

96/24 + 9/24 - 64/24 = (96 + 9 - 64)/24:
(96 + 9 - 64)/24

| 1 |
| 9 | 6
+ | | 9
1 | 0 | 5:
(105 - 64)/24

| 0 | 10 |
| 1 | 0 | 5
- | | 6 | 4

| 0 | 4 | 1:
Answer: 41/24 or decimal 1.70833333.....

7 0

3 years ago

In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66.What

Lunna [17]

Answer:

We conclude that the lower limit of a box-and-whiskers display is 65.

We conclude that the upper limit of a box-and-whiskers display is 77.

Step-by-step explanation:

Definition: A box-and-whisker plot or boxplot is a diagram based on the five-number summarytext annotation indicator of a data set.

In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66.

We conclude that the lower limit of a box-and-whiskers display is 65.

We conclude that the upper limit of a box-and-whiskers display is 77.

3 0

3 years ago

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

Shtirlitz [24]

Answer:

Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption of microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Here, null hypothesis states that the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, alternate hypothesis sates that the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

5 0

3 years ago