Question

Solve the system using the linear combination method.

first equation. 5 x plus y equals 5 second equation. 10 x plus 3 y equals 20

Answer 1

y = 10 , x= -3

Note: I have never hears this called "combination method"

if you research this on-line it is typically called the "elimination" or the "addition" method.

Explanation:

5x + y = 5

10x + 3y = 20

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multiply top equation by -2

-10x + -2y = -10

10x + 3y = 20

y = 10

x= -3