Solve this system of equations using any method.

2x - y = 5

4x + y = 7

(2, - 4)

(4, - 9)

(2, - 1)

(4, - 3)

(2, - 1)

Step-by-step explanation:

Substitution Method

2x - y = 5 and 4x + y = 7 are two given equation

Step 1:

Name the Equation

2x - y = 5 ... (1)

4x + y = 7 ... (2)

Step 2:

From equation (1) we get,

2x = y + 5

x = y + 5/2

Step 3:

Substitute the value of x in equation (2)

i. e.,

4 (y + 5/2) + y = 7

2 (y + 5) + y = 7

2y + 10 + y = 7

3y = 7 - 10

3y = - 3

y = - 3/3

y = - 1

Step 4:

Now, Substitute the value of y in equation (1)

i. e.,

2x - (-1) = 5

2x + 1 = 5

2x = 5 - 4

2x = 4

x = 4/2

x = 2

VERIFICATION:

2 (2) - (-1) = 5 i. e., 4 + 1 = 5

4 (2) + (-1) = 7 i. e., 8 - 1 = 7