Math

Solve for each system 5x+6z=106 and 6x + 3z = 81

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6x + 3z = 81

6x-6x + 3z = 81-6x

3z = 81-6x

3z/3 = 81-6x/3

z=27-2x

5x+6z=106

5x+6(27-2x)=106

5x+6(27) (6)(-2x)=106

5x+162-12x=106

162-7x=106

162-7x-162=106-162

-7x=-56

-7x/-7=-56/-7

x=8

z=27-2x

z=27-2*8

z=27-16=11