book Maths Puzzle Numerical Ability

5u+3v=5
4u-v=4

use substitution method to solve system
if dependent or inconsistent, so indicate

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book Other Question

my question is:
write the equation of a line that has a slope of 2/3 and passes through point (6,-3).
my answer was y+3=2/3(x-6)
is that right?
thanks for the help!
How do you find an equation if all you know is m= -7/5 and the x intercept is 5?