All categories

3 years ago

Y=3x-4y=2x+1 what would be the first step to solving system

Mathematics

1 answer:

NeX [460]3 years ago

7 0

Answer:

Step one. Equate the two right hand sides to each other.

3x - 4 = 2x + 1

Step-by-step explanation:

Well one of the things you could do is graph the two equations. The intersection point is the solution to the system. We get 5,11 as the answer. I can hear you saying that's cheating, and it likely is, but it does get the answer.

The very first step without the graph is to equate each of the right hand sides to each other. That's because the left side are both ys and they have to be equal.

3x - 4 = 2x + 1 Add 4 to both sides

3x - 4 + 4 = 2x + 1 + 4

3x = 2x + 5 Subtract 2x from both sides

3x-2x = 2x-2x + 5 Combine

x = 5

y = 3x - 4

y = 3*5 - 4

y = 15 - 4

y = 11.

You might be interested in

I need help algebra

asambeis [7]

Answer:

A. the slope value is 1/4

B. 0

C. y = 1/4x

Step-by-step explanation:

A: the slope can be calculated with the formula

$m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1}$

m is the slope

(x1, y1) is your first coordinate point (any point will work)

(x2, y2) is your second coordinate point (any point will work)

Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:

$m = \frac{y2 - y1}{x2 - x1} = \frac{1 - 0}{4 - 0} = \frac{1}{4}$

B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.

the equation of the graph is y = mx + b.

m is the slope = 1/4

b is the y-intercept = 0

Therefore the equation is y = 1/4x

6 0

3 years ago

What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6m?

WINSTONCH [101]

Sector area = (central angle / 360) * PI * radius^2
sector area = (210 / 360) * PI * 2.3^2
sector area = (7 / 12) * PI * 5.29
sector area = 9.6944313302 
sector area = 9.7 square meters (rounded)

Source:
http://www.1728.org/radians.htm

8 0

3 years ago

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .