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Nikitich [7]
3 years ago
14

Use substitution to solve each of the following pairs of simultaneous equations for x and y in terms of m and n.

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

Answer:

Step-by-step explanation:

a)

As given y=mx lets replace mx with y in the first equation

2y=n => y=n/2, replace y with n/2 => mx=n/2, thus x=n/2m

b)

As given y=nx lets replace y with nx in the first equation

x+n^2x=m => x(n^2+1)=m = > x=m/(n^2+1), thus y= n*m/(n^2+1)

c) Replace y with nx => mx-nx=n => x(m-n)=n = > x=n/(m-n), thus y=n^2/(m-n)

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Answer:

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Step-by-step explanation:

Set up and solve an equation of ratios:

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----------------- = ----------------

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Cross multiplying:

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Solve for x by dividing both sides of this equation by 60 m:

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The expressions 14, 6 + 8, and (6 + 8) are equivalent because they are all equal to 1

<h3>Equivalent expression</h3>

14

6 + 8

= 14

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The coefficient of (6 + 8) is 1, so, the expression remains the same.

<h3>What is equivalent expression?</h3>

Equivalent expressions refers to those expressions that work the same even though they look different.

The importance or significance of equivalent expression is that its makes expressions easier to work with and solve.

Therefore, the expressions 14, 6 + 8, and (6 + 8) are all equivalent to 14.

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brainly.com/question/15775046

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