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julsineya [31]
3 years ago
8

5х + 6y=50 X-6y= -26

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Answer:

x=4 and y=5

Step-by-step explanation:

Find x by adding the two equations so that the 6y and -6y will cancel out.

You're left with 6x=24 which you divide 6 on both sides to get x=4.

Then to find y you will plug 4 into either equation for x. I chose the second equation, so 4-6y=-26, get -6y alone by subtracting the 4 over to the other side. then -6y=-30, then divide both sides by -6 and you get y=5.

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Determine the intercepts of the line.
sergey [27]

Answer:

  y-intercept: (0, 5/2)

  x-intercept: (5/3, 0)

Step-by-step explanation:

The y-intercept is found by setting x=0 and dividing by the coefficient of y.

  0 +2y = 5

  y = 5/2

The x-intercept is found by setting y=0 and dividing by the coefficient of x.

  3x +0 = 5

  x = 5/3

The intercepts are ...

  y-intercept: (0, 5/2)

  x-intercept: (5/3, 0)

3 0
3 years ago
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How do you graph y=-3x+4
Art [367]

It's a linear function. The graph is a straight line, therefore we need only two points.

Select any value of x and calculate the value of y:

y = -3x + 4

for x = 0 → y = -3(0) + 4 = 4 → (0, 4)

for x = 2 → y = -3(2) + 4 = -2 → (2, -2)

4 0
3 years ago
-8=-16+n what is the answer?
SpyIntel [72]

Answer:

8

Step-by-step explanation:

First add -16 to -8.

your equation then is n=8.

You get your answer.

8 0
3 years ago
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What is the equation of the following line? Be sure to scroll down first to see
likoan [24]

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-3)}}}\implies \cfrac{-1}{0+3}\implies -\cfrac{1}{3}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-\cfrac{1}{3}}[x-\stackrel{x_1}{(-3)}]\implies y-1=-\cfrac{1}{3}(x+3) \\\\\\ y-1=-\cfrac{1}{3}x-1\implies y=-\cfrac{1}{3}x

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4 years ago
Through the point (3,1.2) that has an y intercept of 3
topjm [15]

Answer:

y = -0.6x +3

Step-by-step explanation:

equation of the line through point (3, 1.2) and y-interecept of 3

y= mx+b

m is the slope and b is thhe y-intercept

y = mx + 3

between points (3, 1.2) and (0,3) the slope is

m= (y2-y1)/ (x2-x1) = (1.2-3) / (3-0) = -1.8/3 = -0.6

y = -0.6x +3

3 0
3 years ago
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