(1.1: Geometry) Suppose we want to express the point (2; 3) in R2 as the solution space of a system of linear equations. (a) What is the smallest number of equations you would need? Write down such a system. (b) Can you add one more equation to the system in (a) so that the new system still has the unique solution (2; 3)? (c) What is the maximum number of distinct equations you can add to your system in (a) to still maintain the unique solution (2; 3)? (d) Is there a general form for the equations in (c)?

step-by-step explanation:

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step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.