Use the substitution method to solve the system of equations. Choose the correct ordered pair.

2y + 4x = 18

2y - 3x = 4

A. (6, - 3)

B. (5, - 1)

C. (2, 5)

D. (3, 3)

Option C is right answer.

Step-by-step explanation:

Given two equations as

2y + 4x = 18

2y - 3x = 4

We have to use substitution method.

From first equation find the value of y.

2y = 18-4x

Or y = 9-2x

Substitute this in II equation.

2 (9-2x) - 3x = 4

18-4x-3x = 4

-7x = 4-18 = - 14

Divide by - 7

x = 2

Since y = 9-2x, substitute x=2 to get y

y = 9-2 (2) = 5

Answer is (2,5)

To verify:

Substitute (2,5) in the given two equations to check.

2 (5) + 4 (2) = 18 is right

2 (5) - 3 (2) = 4 is also right.

Hence solution is (2,5)