Question #1622e

Question

1100 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-14T18:13:42

$x = 7$ and $y = 6$

If you like point form, it is: $(7,6)$

Given:

$2x+y=20" [1]"$
$6x-5y=12" [2]"$

We can use equation [1] to write y in terms of x by subtracting 2x from both sides:

$y=20-2x" [1.1]"$
$6x-5y=12" [2]"$

Substitute the right side of equation [1.1] for y in equation [2]:

$6x-5(20-2x)=12" [2.1]"$

Solve for the value of x:

$6x-100+10x=12" [2.1]"$

$16x = 112$

$x = 7$

We can use either equation [1] or [2] to find the corresponding value of y; I shall use equation [1]:

$2(7)+y = 20$

$y = 6$

Verify that the point $(7,6)$ satisfies both equations:

$2(7)+6=20$
$6(7)-5(6)=12$

$20 = 20$
$12=12$

Verified