2x + 3y = 51

- x+2y = 8) substitution method

Step-by-step explanation:

2x + 3y = 51 ... (1)

- x+2y = 8 ... (2)

Making x as subject in equation (2)

-x = - 2y + 8

x = 2y - 8 ... (3)

Substituting (3) in (1)

2 (2y - 8) + 3y = 51

4y - 16 + 3y = 51

Collecting like terms

4y + 3y = 51 + 16

7y = 67

y = 67/7

y = 9 4/7

And x = 2y - 8

x = 2 (67/7) - 8

x = 134/7 - 8

x = (134 - 56) / 7

x = 78/7

x = 11 1/7