A boy is twice as tall as his little sister and he is 30 cm shorter than his father. The
combined height of these three family members is 3.8m.Write an appropriate
equation, using h' as the sister's height and use this to find the boy's height in cm.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let Boy = x and His Sister = y

Father = z

So, x = 2*y

y = x/2

x = z-30 or z = x+30

Now, substitute

3.8 m = 380 cm

Equation form;

x+y+z = 380

x + x/2 + x+30 = 380

then multiply by 2

2x +x + 2x +60 = 760

5x = 700

x = 140 cm

Thus,

y = x/2 = 140 /2 = 70 cm

z = x+30 = 140 + 30 = 170 cm

There are x (Boy) = 140 cm

y (His Sister) = 70 cm

z (Father) = 170 cm

Hence, Using an appropriate equation, the boy's height is 140 cm.

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A boy is twice as tall as his little sister and he is 30 cm shorter than his father. Thecombined height of these three family members is 3.8m.Write an appropriateequation, using h' as the sister's height and use this to find the boy's height in cm.​

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What is a system of equations?

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A boy is twice as tall as his little sister and he is 30 cm shorter than his father. The
combined height of these three family members is 3.8m.Write an appropriate
equation, using h' as the sister's height and use this to find the boy's height in cm.