<span>x – 2z = 9 so x = 2z + 9
6x – 2y – 5z = 29
–5x + 5y + 3z = –14
substitute </span>x = 2z + 9 into 6x – 2y – 5z = 29 and –5x + 5y + 3z = –14
6(2z + 9) – 2y – 5z = 29
12z + 54 - 2y -5z =29
-2y + 7z = - 25 (1st equation)
–5(2z + 9) + 5y + 3z = –14
-10z - 45 + 5y + 3z = -14
5y - 7z = 31 (2nd equation)
multiply (1st) equation by 5 and (2nd) equation by 2
-10y + 35z = - 125
10y - 14z = 62
-----------------------add
21z = - 63
z = -3
substitute z = - 3 into x = 2z + 9
x = 2z + 9
x = 2(-3) + 9
x = 3
substitute x = 3 and z = 3 into <span>6x – 2y – 5z = 29
</span>
<span>6x – 2y – 5z = 29
</span><span>6(3) – 2y – 5(-3) = 29
18 - 2y + 15 = 29
-2y + 33 = 29
-2y = -4
y = 2
x = 3, y = 2 and z = -3
answer
</span><span>B. (3, 2, –3)</span>
Answer:
Step-by-step explanation:
b. state taxes are the most likely to pay for universities and police.
