Question

Solve the system of linear equations below.

2x + 3y = 2
x + 6y = 4

A. x = 0, y = 2/3
B. x = 2, y = -2/3
C. x = 4/3, y = 2/9
D. x = 4, y = -2

Answer 1

The answer to your question is letter A. x = 0, y = 2/3

Explanation:

Equation 1 2x + 3y = 2

Equation 2 x + 6y = 4

Solve the system of equations by elimination

- Multiply equation 2 by -2

2x + 3y = 2

-2( x + 6y = 4)

2x + 3y = 2

-2x - 12y = -8

0 - 9y = -6

y = -6/-9

y = 2/3

. Find x

2x + 3(2/3) = 2

2x + 2 = 2

2x = 2 - 2

2x = 0

x = 0/2

x = 0