well,try multiplying the first euation by 2
6 y + 8 z = 14
6 y - 8 z = 41
now add them
12 y + 0 = 55
so y = 55/12
plug that back in or just subtract the two equations
16 z = -27
z = -27/16
solve 3y+4z=7
6y-8z=41
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