How do you solve $7 x - 2 y = - 23$ $7x - 2y = -23$ and $2 x - 3 y = - 9$ $2x - 3y =-9$ ?

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How do you solve $7 x - 2 y = - 23$ $7x - 2y = -23$ and $2 x - 3 y = - 9$ $2x - 3y =-9$ ?

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Answer 1 · 2017-07-06T15:22:32

$x = - 3$ $x=-3$
$y = 1$ $y=1$

Explanation:

I solved the second equation for $x$ $x$ , then substituted it into the first.

$2 x - 3 y = - 9$ $2x-3y=-9$
$2 x = 3 y - 9$ $2x=3y-9$
$x = 1.5 y - 4.5$ $x=1.5y-4.5$

$7 (1.5 y - 4.5) - 2 y = - 23$ $7(1.5y-4.5)-2y=-23$
$10.5 y - 31.5 - 2 y = - 23$ $10.5y-31.5-2y=-23$
$8.5 y = 8.5$ $8.5y=8.5$
$y = 1$ $y=1$

Next I substituted $y = 1$ $y=1$ into the second equation
$2 x - 3 (1) = - 9$ $2x-3(1)=-9$
$2 x - 3 = - 9$ $2x-3=-9$
$2 x = - 6$ $2x=-6$
$x = - 3$ $x=-3$

check:
$7 (- 3) - 2 (1) = - 23$ $7(-3)-2(1)=-23$
$- 21 - 2 = - 23$ $-21-2=-23$
$- 23 = - 23$ $-23=-23$

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How do you solve $7 x - 2 y = - 23$ $7x - 2y = -23$ and $2 x - 3 y = - 9$ $2x - 3y =-9$ ?

1 Answer

Explanation:

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How do you solve $7 x - 2 y = - 23$ $7x - 2y = -23$ and $2 x - 3 y = - 9$ $2x - 3y =-9$ ?