Question #b5882

Question

Question #b5882

1 Answer

Impact of this question

1434 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-10T16:56:04

$x = - \frac{22}{13}$ $x=-22/13$ and $y = - \frac{29}{13}$ $y=-29/13$

Explanation:

Ill do the first one as an example,

$x - 3 y = 5$ $x-3y=5$ and $3 x + 7 y = 1$ $3x+7y=1$

The goal is to eliminate one of the variables so it is possible to solve for the other,

$x - 3 y = 5$ $x-3y=5$ equation 1
$3 x + 7 y = 1$ $3x+7y=1$ equation 2

Multiply the first equation by $3$ $3$ , and subtract the first equation from the second equation.

$3 x - 6 y = 30$ $3x-6y=30$
$3 x + 7 y = 1$ $3x+7y=1$

Subtracting the equations gives you,

$- 13 y = 29$ $-13y=29$
$y = - \frac{29}{13}$ $y=-29/13$

Now knowing $y = - \frac{29}{13}$ $y=-29/13$ , you can solve for $x$ $x$ . Do so by subsituting the value for $y$ $y$ into equation 1.

$x - 3 (- \frac{29}{13}) = 5$ $x-3(-29/13)=5$
$x + \frac{87}{13} = 5$ $x+87/13=5$
$x = 5 - \frac{87}{13}$ $x=5-87/13$
$x = - \frac{22}{13}$ $x=-22/13$

Therefore,

$x = - \frac{22}{13}$ $x=-22/13$ and $y = - \frac{29}{13}$ $y=-29/13$

Science

Math

Humanities

... and beyond

Question #b5882

1 Answer

Explanation:

Related questions

Impact of this question