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Solve the system of equations 3y + 2z = 12 and y – z = 9. A. y = 6, z = 15 B. y = –6, z = 15 C. y = 6, z = –3 D. y = 24, z = 15
3y + 2z = 12 y – z = 9 y = z + 9 3(z + 9) + 2z = 12 3z + 27 + 2z = 12 5z + 27 = 12 5z = 12 - 27 5z = -15 z = -15/5 z = -3 y - (-3) = 9 y + 3 = 9 y = 9 - 3 y = 6 Solution set: y = 6, z = -3
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Asked 12/11/2017 1:15:22 PM
Updated 12/12/2017 1:53:18 AM
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3y + 2z = 12

y – z = 9



y = z + 9

3(z + 9) + 2z = 12

3z + 27 + 2z = 12

5z + 27 = 12

5z = 12 - 27

5z = -15

z = -15/5

z = -3



y - (-3) = 9

y + 3 = 9

y = 9 - 3

y = 6



Solution set: y = 6, z = -3
Added 12/12/2017 1:53:18 AM
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