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rusak2 [61]
3 years ago
14

Solve the system of equations.

Mathematics
1 answer:
bixtya [17]3 years ago
8 0

\left\{\begin{array}{ccc}2x-3y=16&|\cdot2\\3x+2y=11&|\cdot3\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x-6y=32\\9x+6y=33\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad13x=65\qquad|:13\\.\qquad x=5\\\\\text{put the value of x to the second equation}\\\\3(5)+2y=11\\15+2y=11\qquad|-15\\2y=-4\qquad|:2\\y=-2\\\\Answer:\ B)\ (5,\ -2).

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Please help if you can. If possible please type how you got the answer so I can remember it next time I get a question like this
Gre4nikov [31]

Answer:

(2,3)

Step-by-step explanation:

I did this by using the equation that was given. y=x+1.

This mean that the starting point would be the coordinate (0,1) and the x is the slope, which means that from coordinate (0,1) I will go up one and one to the right until I intersected with coordinate (2,3).

8 0
2 years ago
Read 2 more answers
Find the slope and write an equation with these to points (0,-2) (3,1)<br><br> plz explain
tatiyna

Hello There!

Slope: 1

Equation: y = x - 2

Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.

y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1

This means we have a slope value of 1.

Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)

To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.

we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.

1 = 1(3) + b

Now, simplify.

1 = 1(3) + b

1 = 3 + b

-2 = b

So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.

I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !

7 0
3 years ago
Read 2 more answers
A High School booster club sets up an academic scholarship that is awarded to one student each year. The formula y=2700x can be
djyliett [7]

Answer:

$32,400

Step-by-step explanation:

We can just replace 12 for x in the equation y = 2700x

y = 2700x

y = 2700(12)

y = 32,400

The money paid after 12 years is $32,400

-Chetan K

4 0
2 years ago
Read 2 more answers
Explain how you determine an equation for a line using a table of input/output values.
Lubov Fominskaja [6]
Example :

            x               y
            1               3
            2               6
            3               9
            4               12

first thing u do is pick any 2 points (x,y) from ur table

(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3

now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b

so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct

and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form
6 0
3 years ago
Colin drew the floor plan of his bedroom shown below. What is the area of his bedroom in square feet?
labwork [276]
512 because multiply each number together
4 0
3 years ago
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