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3 years ago

How many solutions does this linear system have?

Mathematics

1 answer:

Tanya [424]3 years ago

8 0

Answer:

B (2.5, 0)

Step-by-step explanation:

2x - y = 5 (multiply all by 4)

8x- 4y = 20

-8x - 4y = - 20

eliminate the 4y

8x- 4y = 20

-8x - 4y = - 20

-------------------- –

16x = 40

x = 40/16 = 2.5

now we substitute x with 2.5

2x - y = 5

2(2.5) - y = 5

y = 0

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Olve for x. 3(3x - 1) + 2(3 - x) = 0 x = 3/7 x = -3/7 x = 1/3 x = -1/3

zloy xaker [14]

<u>Answer:</u>

x = -3/7

<u>Step-by-step explanation:</u>

We are given the following equation for which we have to solve for x:

$3(3x - 1) + 2(3 - x) = 0$

So we will start by expanding the equation by multiplying the common factor with the brackets to get:

$9x-3+6-2x=0$

Arranging the like terms together (variables on one side of the equation and constants on the other side) to get:

$9x-2x=3-6\\\\7x=-3\\\\x=-\frac{3}{7}$

Therefore, x = -3/7.

8 0

3 years ago

To wash a window that is 12 feet off the ground, Wayne leans a 13-foot ladder against the

AlladinOne [14]

Answer:

5 meters

Step-by-step explanation:

Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.

c = √( a² + b² )

c² = a² + b²

b² = c² - a²

b = √ ( c² - a² )

b = √ ( 13² - 12² )

b = 5 meters

Correct me if I'm wrong. I hope it helps.

3 0

2 years ago

In the image, point A marks the center of the circle. Which two lengths must form a ratio of 2:1?

harina [27]

I hope this helps you