Which of the following values for x and y satisfy the following system of the equations?

{ x + 4y = 10

{5x + 10y = 20

a. x = 3, y = 2

b. x = 2, y - 3

c. x = - 2, y = 3

d. x = 3, y = - 2

The answer to your question is letter C

Step-by-step explanation:

Equations

x + 4y = 10

5x + 10y = 20

Process

1. - Substitute all the options in both equations and evaluate them

a) x = 3, y = 2 This option is incorrect

(3) + 4 (2) = 10 3 + 8 = 10 11 ≠ 10

5 (3) + 10 (2) = 20 15 + 20 = 20 35 ≠ 20

b) x = 2, y = - 3 This option is incorrect

(2) + 4 (-3) = 10 2 - 12 = 10 - 10 ≠ 10

(2) + 10 (-3) = 20 2 - 30 = 20 - 28 ≠ 20

c) x = - 2, y = 3 This is the right answer

(-2) + 4 (3) = 10 - 2 + 12 = 10 10 = 10

5 (-2) + 10 (3) = 20 - 10 + 30 = 20 20 = 20

d) x = 3, y = - 2 This option is incorrect

(3) + 4 (-2) = 10 3 - 6 = 10 - 3 ≠ 10

5 (3) + 10 (-2) = 20 15 - 20 = 20 - 10 ≠ 10