How do you solve 4x + y = -3 and 5x - y= -6?

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Answer 1 · 2015-11-10T05:05:55

The solution for the system of equation is
$color(blue)(x=-1,y=1$

$4x + color(blue)(y) = -3$ ........equation $1$
$5x - color(blue)(y)= -6$ .........equation $2$

Solving by elimination :
Adding equations $1$ and $2$ eliminates $color(blue)(y$

$4x + color(blue)(y) = -3$
$5x - color(blue)(y)= -6$

$9x=-3-6$

$9x=-9$

$x=-9/9$

$color(blue)(x=-1$

Now, substitute the value of $x$ in equation $1$ to find $y$

$4x +y = -3$

$4*(-1) +y = -3$

$-4 +y = -3$

$y = -3 +4$

$color(blue)(y=1$