How do you solve the following linear system: #8y-24= -6x, color(white)("ddd")3x+4y=12#?

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Answer 1 · 2018-06-10T12:21:03

There is an infinite count of solutions.

Given:

#8y-24=-6x" ".....................Equation(1)#
#3x+4y=12" ".........................Equation(1)#

Consider #Equation(1)#

Divide all of both sides by 2 giving:

#4y-12=-3x" "..............................Equation(1_a)#

With a bit of manipulation of #Eqn(1_a)# you will realise that it the same as #Eqn(2)#

Thus the plot of one is superimposed onto the plot of the other.

Thus there is an infinite count of shared points.

Thus the is an infinite count of solutions.