How do you solve this set of linear equations: $2 x - y = 5; 3 x + 2 y = 4$ $2x - y = 5; 3x + 2y = 4$ ?

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How do you solve this set of linear equations: $2 x - y = 5; 3 x + 2 y = 4$ $2x - y = 5; 3x + 2y = 4$ ?

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Answer 1 · 2018-03-02T02:34:21

We're gonna solve for $y$ $y$ this time because in the first equation it is $y$ $y$ and in the second it is $2 y$ $2y$ so it'll be easier
$1^{s t} e q u a t i o n$ $1^(st) equation$
$2 x - y = 5$ $2x-y=5$
Transfer $2 x$ $2x$
$- y = 5 - 2 x$ $-y=5-2x$
Transfer the minus(-)
$y = - (5 - 2 x)$ $y=-(5-2x)$
$y = - 5 + 2 x$ $y=-5+2x$
If you didn't understand what I did there... simply think I multiplied both sides by $- 1$ $-1$
$2^{n d} e q u a t i o n$ $2^(nd)equation$
$3 x + 2 y = 4$ $3x+2y=4$
Put value of $y$ $y$
$3 x + 2 \times (- 5 + 2 x) = 4$ $3x+2xx(-5+2x)=4$
Expand
$3 x - 10 + 4 x = 4$ $3x-10+4x=4$
Solve and transfer $10$ $10$
$7 x = 4 + 10$ $7x=4+10$
$7 x = 14$ $7x=14$
Transfer $7$ $7$
$x = \frac{14}{7}$ $x=14/7$
$x = 2$ $color(red)(x=2$
$y = - 5 + 2 x$ $y=-5+2x$
$y = - 5 + 2 \times 2$ $y=-5+2xx2$
$y = - 5 + 4$ $y=-5+4$
$y = - 1$ $color(red)(y=-1$

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How do you solve this set of linear equations: $2 x - y = 5; 3 x + 2 y = 4$ $2x - y = 5; 3x + 2y = 4$ ?

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How do you solve this set of linear equations: 2x - y = 5; 3x + 2y = 42x−y=5;3x+2y=42x - y = 5; 3x + 2y = 4?

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How do you solve this set of linear equations: $2 x - y = 5; 3 x + 2 y = 4$ $2x - y = 5; 3x + 2y = 4$ ?