Solve the system of Equation (x,y) - 4x + y = 9 x – 3y = -6

Question

asked Apr 10, 2020 231k views

1 Answer

Nick To · Answer 1 · 2020-04-14T01:30:53+0000

Answer:

Explanation:

Given:

$- 4x+y =9\\ x-3y = -6$

Express
in terms
of using the first equation.

$-4x+y=9\\y=4x+9$

Now, plug in the above value in second equation and solve for
.

This gives,

$x-3y = -6\\x-3(4x+9)=-6\\x-12x-27=-6\\-11x-27=-6\\-11x=-6+27\\-11x=21\\x=(21)/(-11)=-(21)/(11)$

Now, plug in
value and solve for
. This gives,

y=4x+9=4(-(21)/(11))+9=-(84)/(11)+(99)/(11)=(-84+99)/(11)=(15)/(11)

Therefore, the solution is