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Sergio039 [100]
3 years ago
13

Help with this question please1

Mathematics
2 answers:
Sloan [31]3 years ago
8 0

Answer:

(-2,8)

Step-by-step explanation:

3x+3y = 18

2x+y = 4

Multiply the second equation by -3

-3(2x+y) = -3*4

-6x-3y = -12

Add this to the first equation

3x+3y = 18

-6x-3y = -12

-------------------------

-3x = 6

Divide each side by -3

-3x/-3 = 6/-3

x = -2

Now solve for y

2x+y = 4

2(-2) +y = 4

-4+y =4

Add 4 to each side

-4+4+y = 4+4

y =8

pentagon [3]3 years ago
4 0

Answer:

(-2,8)

Step-by-step explanation:

3x + 3y = 18 (1)

2x + y = 4 (2)

(1) - 3(2)

3x + 3y = 18

-(6x + 3y = 12)

-3x = 6

x = -2

Using (2)

2(-2) + y = 4

-4 + y = 4

y = 8

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Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form
Alex787 [66]

Answer:

y=-\frac{2}{5}x-\frac{1}{5}

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

  • m is the slope
  • b is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

m = -\frac{2}{5}

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-\frac{2}{5}x + b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

  • (-3,1). When x of the line is -3, y of the line must be 1.
  • (2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: y=-\frac{2}{5}x + b. b is what we want, the --\frac{2}{5} is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

  • (-3,1). y = mx + b or 1=-\frac{2}{5} * -3 + b, or solving for b: b = 1-(-\frac{2}{5})(-3).b = -\frac{1}{5}.
  • (2,-1). y = mx + b or -1=-\frac{2}{5} * 2 + b, or solving for b: b = 1-(-\frac{2}{5})(2). b = -\frac{1}{5}.

See! In both cases, we got the same value for b. And this completes our problem.

The equation of the line that passes through the points  (-3,1) and (2,-1) is y=-\frac{2}{5}x-\frac{1}{5}

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Barbara found that six of the 24 students in her class on a cell phone what is the ratio of students that only sell phone to stu
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Answer:

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Step-by-step explanation:

If you don't have to simplify, then the answer would be 6:24, but if you do, then the answer would be 1:4.

7 0
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I got 77 for my total answer. I correct? if not can some help​
mote1985 [20]
Yes you got it correct.
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Anyone know??????????
mihalych1998 [28]
The first two options imply that x can be somewhere *between* -2 and 4, which clearly isn’t the case. Looking at the two sections graphed, we see that x can be less than, but not equal to, -2 (indicated by the hollow dot at -2) and greater than *or* equal to 4 (indicated by the solid dot at 4). The third option is the only one that describes this situation.
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