4x + y = 7

3x + 2y = 9

x = 1

y = 3

Step-by-step explanation:

Substitution Method:

Step 1:

Name The Equation

4x + y = 7 ... (1)

3x + 2y = 9 ... (2)

Step 2:

From Equation (1) we get,

4x = 7 - y

i. e.,

x = 7 - y/4

Step 3:

Substitute the value of x = 7 - y/4 in equation (2)

i. e.,

3 (7 - y/4) + 2y = 9

21 - 3y/4 + 2y = 9

21 - 3y + 8y/4 = 9

21 - 3y + 8y = 9 * 4

21 + 5y = 36

5y = 36 - 21

5y = 15

y = 15/5

y = 3

Step 4:

Substitute the value of y = 3 in equation (1)

4x + y = 7

i. e.,

4x + (3) = 7

4x + 3 = 7

4x = 7 - 4

4x = 4

x = 4/4

x = 1

Verification:

4x + y = 7 i. e., 4 (1) + (3) = 7

3x + 2y = 9 i. e., 3 (1) + 2 (3) = 9