How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent $5 x - y = 24$ $5x-y=24$ and $5 x + 6 y = - 4$ $5x+6y=-4$ ?

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Answer 1 · 2016-04-01T15:17:19

$x = 4$ $x=4$
$y = - 4$ $y=-4$

From the given equation
$5 x - y = 24$ $5x-y=24" "$ first equation
$5 x + 6 y = - 4$ $5x+6y=-4" "$ second equation

after performing subtraction

$- 7 y = 28$ $-7y=28$

$y = - 4$ $y=-4$

Use $5 x - y = 24$ $5x-y=24" "$ first equation and $y = - 4$ $y=-4$ to solve for x

$5 x - (- 4) = 24$ $5x-(-4)=24" "$ first equation

$5 x + 4 = 24$ $5x+4=24$

$5 x = 20$ $5x=20$

$x = 4$ $x=4$

God bless...I hope the explanation is useful.

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent 5x−y=245x-y=24 and 5x+6y=−45x+6y=-4?