If 3x + 4y - 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z - 4 = 18, then what is the value of x + y + z - 34?
A. -28
B. -14
C. -31
D. -45
Answer: Option C
Solution(By Examveda Team)
3x + 4y - 2z + 9 = 17 . . . . . . . . (1)7x + 2y + 11z + 8 = 23 . . . . . . . (2)
5x + 9y + 6z - 4 = 18 . . . . . . . . (3)
____________________________
15x + 15y + 15z + 13 = 58
(By adding equation (1), (2) & (3))
15(x + y + z) = 45
x + y + z = 3
x + y + z - 34 = 3 - 34 = -31
Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
Join The Discussion