Question 953369
we can use any method we like to solve the equations
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multiply 5x-2y=-1 by 3 and multiply 4x+3y=13 by 2 and add the results
(15x-6y=-3) +  (8x+6y=26), we get
23x = 23
x = 1 and y = 3
therefore we know that the two lines intersect at one point, now look at the equations as y = mx +b
y = (5/2)x +(1/2) and
y = (-4/3)x +(13/3)
the slopes(m) of the two lines are different, therefore they are independent
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you are correct