Solving system of equations

Question

Solve the system of equations 

 

x-4y=4

2x+3y=-3

Answer 1

x - 4y = 4                 eq1
2x + 3y = -3            eq2

 

 

Substitute eq1 into eq2.  From eq1,

 

x = 4y + 4

 

2(4y + 4) + 3y = -3

 

 

Solve for y from this equation.

 

8y + 8 + 3y = -3

 

11y + 8 = -3

 

11y = -11

 

   y = -1

 

 

Finally, substitute this value of y into eq1 to solve for x.