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torisob [31]
2 years ago
5

−6x+2y=−26 ; 8x−8y=24

Mathematics
1 answer:
Eva8 [605]2 years ago
8 0

The solution is: x=5, y=2

Step-by-step explanation:

Given equations are:

-6x+2y=-26\ \ \ \ \ Eqn\ 1\\8x-8y=24\ \ \  \ \ \ \ Eqn\ 2\\Multiplying\ equation\ 1\ by\ 4\\4(-6x+2y)=4(-26)\\-24x+8y=-104\ \ \ Eqn\ 3\\Adding\ Eqn\ 2\ and\ Eqn\ 3\\-24x+8y+8x-8y=24-104\\-16x=-80\\dividing\ both\ sides\ by\ -16\\\frac{-16x}{-16}=\frac{-80}{-16}\\x=5\\Putting\ x=5\ in\ equation\ 1\\-6(5)+2y=-26\\-30+2y=-26\\Adding\ 30\ on\ both\ sides\\-30+2y+30=-26+30\\2y=4\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{4}{2}\\y=2

Verification:

8x-8y=24\\Putting\ x=5\ and\ y=2\\8(5)-8(2)=24\\40-16=24\\24=24

The solution is: x=5, y=2

Keywords: Linear Equations, Elimination method

Learn more about linear equations at:

  • brainly.com/question/8805387
  • brainly.com/question/8806598

#LearnwithBrainly

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Step-by-step explanation:

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2 years ago
Given that A=27, B=43 and c=17, solve triangle ABC to the nearest hundredth
katrin2010 [14]
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] / <span> <span> <span> 1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) = <span> <span> <span> 0.96374829001368
Angle A = 15.475

Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span> <span> <span> <span> 154.85

</span></span></span>Finally, calculating the third angle is quite easy
Angle C =  180 - Angle (A) - Angle(B)
Angle C =  180 - 15.475 - 154.85
Angle C =  9.675

Source:
http://www.1728.org/trigtut2.htm


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2 years ago
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mezya [45]
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3 years ago
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Step-by-step explanation:

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e-lub [12.9K]

Answer:

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Step-by-step explanation:

Carol is cross-country skiing.

With the help of the given table we have to calculate the rate of change.

If we draw a graph for distance traveled on y-axis and tins at x-axis we find two points, ( 2, 1/6) and (3, 17/48).

Then slope of the line connecting these points will be the rate of change.

Rate of change = Slope = \frac{y-y'}{x-x'}

= \frac{\frac{17}{48}-\frac{1}{6}}{3-2}

= \frac{17-8}{48}

= \frac{9}{48}=\frac{3}{16}

Option D 3/16 is the answer.

3 0
3 years ago
Read 2 more answers
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