Determine whether the vector w=(0, -5, 7) can be expressed as a linear combination of the vectors v1=(2,-1,3) and v2=(5,0,4)

a(2,-1,3) + b(5,0,4) = (0,-5,7)

means

2a+5b = 0
-a = -5
3a+4b = 7

w = 5v1 - 2v2

The area of a rectangle is 189 square meters. The width is 2 meter longer than one-third of the length and the width of the garden