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

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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.

How do you solve the following linear system: 8y-24= -6x, color(white)("ddd")3x+4y=128y−24=−6x,ddd3x+4y=128y-24= -6x, color(white)("ddd")3x+4y=12?