Using the elimination method

4x-3y=33

X+4y=14

Step-by-step explanation:

4x-3y=33 ... (1)

x+4y=14 ... (2)

Multiply (2) by 4

4x + 16y = 56 ... (3)

Equation (1) substracted from (3)

4x - 4x + 16y - (-3y) = 56 - 33

16y + 3y = 23

19y = 23

y = 23/19

y = 1 4/19

From equation (2)

x + 4y = 14

And y = 23/19

x + 4 (23/19) = 14

Multiply each term by 19

19x + 92 = 266

19x = 266 - 92

19x = 174

x = 174/19

x = 9 3/19