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Tom [10]
3 years ago
13

A+b=77,a-b=13 care sun nr

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0
It's a simultaneous equation:
Steps:
1.Number the equations..

a+b=77 -1
a-b=13 -2

2. Choose what variable you want to use. In this case I would use the "b". Since the signs in front of the "b's" are different, add the two equations together

a + b = 77
+ + +
a (-b) = 13

Which gives;
2a = 90

Then solve to find a:
2a=90
a= 90/2
a=45

3.Then plug the "a" value into any of the original equations to find the "b" value. I would use equation 1 since the all the variables are positive.

a + b = 77
(45) + b = 77
b=77-45
b=32

4.Solution

a=45
b=32
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3 years ago
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lukranit [14]
<em>∙•❁ </em>Okay time to solve this Step-By-Step.<em>❁•∙ </em>

16−<span>2n</span>−5+<span>8n</span>=<span>65

<em>∙•❁ </em>So the first part we need to Simplify both sides of this equation, so:

<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65

<em>∙•❁ </em>We are going to simplify this Step-By-Step.

<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65

</span><span><span><span><span><span><span>16+</span>−<span>2n</span></span>+</span>−5</span>+<span>8n</span></span>=65

<em>∙•❁ </em>Combine like terms:
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(<span><span>−2n</span>+8n</span>)</span>+<span>(<span>16+−5</span>)</span></span>=65 </span>

<span><span>6n+11</span>=65

</span><span><span><span>6n</span>+11</span>=65

<em>∙•❁ </em>Now subtract 11 from both sides.

<span><span><span><span>6n</span>+11</span>−11</span>=<span>65−11

</span></span><span><span>6n</span>=54

<em>∙•❁ </em>Now divide both sides by 6 and you'll get your answer:

6n/6=54/6

<em>∙•❁ </em>Your final answer is:

n=9

<em>∙•❁I hope this helps!❁•∙ </em> </span></span></span></span></span>
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3 years ago
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