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

1 Answer
Jun 10, 2018

Answer:

There is an infinite count of solutions.

Explanation:

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.