All categories

3 years ago

A pair of equations is shown below.

1 answer:

4 0

I'll solve it by substitution instead of graphing.

x + y = 2
y = (1/2)x + 5

Substitute equation 2 into equation 1.

x + (1/2)x + 5= 2

(3/2)x + 5 = 2

(3/2)x + 5 - 5 = 2 - 5

(3/2)x = -3

(2/3) * (3/2)x = -3 * (2/3)

x = -2

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

x = -2
y = 4

(-2,4)

Your answer is B) (-2,4).

You might be interested in

4 ounces of gold chain at $650 per ounce

natka813 [3]

All you have to do is divide 640 by 4 and you get 160

3 0

4 years ago

You multiply two integers. You increase one of them by 1 and decrease the other

snow_tiger [21]

Integers are numbers without decimals

The integers could you have multiplied are 9 and 2

Let the numbers be x and y

So, we have:

$\mathbf{x \times y}$

Increase x by 1 and reduce y by 1.

So, we have

$\mathbf{(x +1) \times (y -1) = 6 + xy }$

Open brackets

$\mathbf{xy -x + y - 1 = 6 + xy}$

Subtract xy from both sides

$\mathbf{ -x + y - 1 = 6}$

Collect like terms

$\mathbf{ -x + y = 6 + 1}$

$\mathbf{ -x + y = 7}$

Rewrite as:

$\mathbf{ y -x= 7}$

The above means that, the difference between the integers is 7.

There are several integers that fit the above <em>description</em>;

One possibility is: 9 and 2

Read more about products at:

brainly.com/question/3208278

6 0

3 years ago

What is the value of x?

mel-nik [20]

Answer:

x = 24

Step-by-step explanation:

1.) put the equations together and equal them to 180

2x + 4 + 6x - 16 = 180

2.) combine like terms

8x - 12 = 180

3.) divide both sides by 8

8x = 192

4.) simplify

x = 24

7 0

3 years ago

Find the distance between the point (-3,5,8) and (8,12,2)

Nitella [24]

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

8 0

3 years ago

Assume that X has a normal distribution, and find the indicated probability.

GrogVix [38]

Answer: 0.6827

Step-by-step explanation:

I believe it is 0.6827

6 0

3 years ago