Question

Solve the following system of equations using the elimination method​

Answer 1

Answer:

$x = \frac{11}{7} \: \: y = \frac{ - 1}{7}$

step by step explanation:

$2x + y = 3 - - - - - - -(1) \\ x - 3y = 2 - - - - - - (2) \\ multiplying \: equation \: 2 \: by \: 2\: \\ 2x + y = 3 \\ 2x - 6y =4 \\ subtracting \\ 7y = - 1 \\ dividing \: bothsides \: by \: - 7 \\ y = \frac{ - 1}{7} \\ put \: y = \frac{ - 1}{7} into \: equation \:(1) \\ 2x + \frac{ - 1}{7} = 3 \\ \\ 2x = \frac{3}{1} + \frac{ 1}{7} \\ 2x = \frac{21 + 1}{7} \\ 2x = \frac{24}{7} \\ dividing \: bothsides \: by \: 2 \\ x = \frac{11}{7}$