How do you solve the system $5 x + y = 13$ $5x + y = 13$ & $2 x + 6 y = 22$ $2x + 6y =22$ ?

Question

How do you solve the system $5 x + y = 13$ $5x + y = 13$ & $2 x + 6 y = 22$ $2x + 6y =22$ ?

1 Answer

Impact of this question

2500 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-30T13:31:26

$the answer is x=2 and y=3$ $"the answer is x=2 and y=3"$

Explanation:

$5 x + y = 13 (1)$ $5x+y=13 " (1)"$
$2 x + 6 y = 22 (2)$ $2x+6y=22" (2)"$

$let us multiply the both sides of equation (1) by 6$ $"let us multiply the both sides of equation (1) by 6"$
$6 . (5 x + y) = 6 . 13$ $color(red)(6.)(5x+y)=color(red)(6.)13$
$30 x + 6 y = 78 (3)$ $30x+6y=78" (3)"$

$subtract equation (2) from equation (3)$ $"subtract equation (2) from equation (3)"$
$30 x + 6 y - (2 x + 6 y) = 78 - 22$ $30x+6y-(2x+6y)=78-22$
$30xcancel(+6y)-2xcancel(-6y)=56$
$28x=56$

$x=56/28$

$color(green)(x=2);$

$"now use (1) or (2)"$

$5 . color(green)(2)+y=13$
$10+y=13$

$y=13-10$

$y=3$

Science

Math

Humanities

... and beyond

How do you solve the system $5 x + y = 13$ $5x + y = 13$ & $2 x + 6 y = 22$ $2x + 6y =22$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the system 5x + y = 135x+y=135x + y = 13 & 2x + 6y =222x+6y=222x + 6y =22?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve the system $5 x + y = 13$ $5x + y = 13$ & $2 x + 6 y = 22$ $2x + 6y =22$ ?