Use the substitution method to solve the following system of equations:

3x + 5y = 3

x + 2y = 0

(1,1)

(6,-3)

(1, - 3)

(6,1)

(6, - 3)

Step-by-step explanation:

Given the 2 equations

3x + 5y = 3 → (1)

x + 2y = 0 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = - 2y → (3)

Substitute x = - 2y into (1)

3 ( - 2y) + 5y = 3

- 6y + 5y = 3

- y = 3 (multiply both sides by - 1)

y = - 3

Substitute y = - 3 into (3) for corresponding value of x

x = - 2 ( - 3) = 6

Solution is (6, - 3)