Question

What is the solution to this system of liner inequality 3x-2y=14,5×+y=32​

Answer 1

My work is shown up above in first picture.

Second picture is checking my answer.

Answer 2

For this case we have a system of two equations with two unknowns:

$3x-2y = 14\\5x + y = 32$

We multiply the second equation by 2:

$3x-2y = 14\\10x + 2y = 64$

We add the equations:

$13x = 78\\x = \frac {78} {13}\\x = 6$

We substitute the value of "x" in the following equation, and we clear the value of "y":

$5 (6) + y = 32\\30 + y = 32\\y = 32-30\\y = 2$

So, the solution is: (6,2)

ANswer:

(6,2)