Question

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

Answer 1

Answer:

$(-\frac{21}{11},\frac{15}{11})$

Step-by-step explanation:

Given:

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

Express $y$ in terms $x$ of using the first equation.

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

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

This gives,

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

Now, plug in $x$ value and solve for $y$. This gives,

$y=4x+9=4(-\frac{21}{11})+9=-\frac{84}{11}+\frac{99}{11}=\frac{-84+99}{11}=\frac{15}{11}$

Therefore, the solution is $(-\frac{21}{11},\frac{15}{11})$