Question

Using the elimination method
4x-3y=33
X+4y=14

Answer 1

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