What is the solution to this system of linear equations? x - 3y = -2, x + 3y = 16

Solution:

x - 3y = -2

x = 3y - 2 ….. (1)

x + 3y = 16 …… (2)

Let us solve the system of linear equations using the substitution method.

Substituting x in equation (2)

3y - 2 + 3y = 16

6y = 16 + 2

6y = 18

Divide both sides by 6

y = 3

Substituting the value of y in equation (1)

x = 3 (3) - 2

x = 9 - 2

x = 7

Therefore, the solution is (7, 3).

What is the solution to this system of linear equations? x - 3y = -2 x + 3y = 16

Summary:

The solution to this system of linear equations x - 3y = -2 and x + 3y = 16 is (7, 3).