Question

What is the solution of the system?

Answer 1

Answer: $\bold{\text{b.}\bigg(4,-\dfrac{1}{2}\bigg)}$

Step-by-step explanation:

x - 2 = -4y  →  x = 2 - 4y

3x + 2y = 11  

3(2 - 4y) + 2y = 11     replaced "x" with (2 - 4y)

6  - 12y + 2y = 11     distributed "3" on left side

6   - 10y        = 11      added like terms (-12y + 2y)

     - 10y        =  5      subtracted "6" from both sides

          y         $= -\dfrac{1}{2}$       divided both sides by -10

Next, solve for x:

x = 2 - 4y

   $= 2 - 4(-\frac{1}{2} )$

   = 2 + 2

   = 4