Solve for both systems 4x+6z=114 and 7x + 4z = 141

4x+6z=114

4x+6z-6z=114-6z

4x=114-6z

4x/4=114-6z/4

x=28.5-1.5z

7x + 4z = 141

7(28.5-1.5z) + 4z = 141

7(28.5) (7)(-1.5z) + 4z = 141

199.5-10.5z+ 4z = 141

199.5-6.5z= 141

199.5-6.5z-199.5= 141-199.5

-6.6z=-58.5

-6.6z/-6.6=-58.5/-6.6

z=8.86

x=28.5-1.5z

x=28.5-1.5(8.86)

x=28.5-13.29=15.21