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3 years ago

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A classmate is 22 years younger than your instructor. Write an equation that will determine your classmate’s age (y) if given yo

ur instructor’s age (x). Use this equation to determine your classmate’s age.

1 answer:

Dima020 [189]3 years ago

3 0

Hey there, we are given quite a lot of information in this problem. First of all, let's make an equation.

y = x - 22

where y = student's age

where x = instructor's age

this equation is correct because x(instructor) - 22 will yield the student's age (y).

If the instructor were 44 years old, the student would be 22 years old.

y = 44 - 22

y = 22

If the instructor were 66 years old, the student would be 44 years old.

y = 66 - 22

y = 44

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Let be $\vec u_{1} = [2,3,1]$ , $\vec u_{2} = [4,1,0]$ and $\vec u_{3} = [1, 2,k]$ , $\vec u_{3}$ is a linear combination of $\vec u_{1}$ and $\vec u_{3}$ if and only if:

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$\alpha_{1}$ , $\alpha_{2}$ , $\alpha_{3}$ - Scalar coefficients of linear combination, dimensionless.

By dividing each term by $\alpha_{3}$ :

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The following system of linear equations is obtained:

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The solution of this system is:

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