Question

10) Solve the system by the elimination method. Check the solution.

x + 2y = 6
-x + 5y = 8

Answer 1

Answer:

x =2, y = 2

Step-by-step explanation:

$x + 2y = 6....(1) \\

-x + 5y = 8....(2) \\ adding \: equations \: (1) \: and \: (2) \\

x + 2y = 6\\

-x + 5y = 8 \\ - - - - - - - \\ 7y = 14 \\ y = \frac{14}{7} \\ \huge \red{ \boxed{ y = 2}} \\ substituting \: y = 2 \: in \: equation \: (1) \\ x + 2 \times 2 = 6 \\ x + 4 = 6 \\ x = 6 - 4 \\\huge \purple{ \boxed{ x = 2}} \\ \\ \huge \orange{ \boxed{(x, \: y) = (2, \: 2)}}$