Solve the following system by elimination.
3x - 2y = 18
5x + 2y = 14
A. (0, 7)
B. (4, -3)
C. (6, -6)
D. (2, 2)

Question

Solve the following system by elimination.
3x - 2y = 18 
5x + 2y = 14 
	A.	(0, 7)
	B.	(4, -3)
	C.	(6, -6)
	D.	(2, 2)

anonymous · Answer

$$8x = 32$$$$x=4$$

anonymous · Answer

There is only one pair with $x=4$ so this is enough to choose the correct answer.

nurali · Answer

3x - 2y = 18 Eq. 1 
+ 5x + 2y = 14 Eq. 2 
------------------------- 
8x = 32 (-2y from eq. 1 and 2y from eq. 2 are add. inverses) 
x = 4 (divide both sides of equation by 8) 

To get value for y, substitute x = 4 for one of the equations. I 

3(4) - 2y = 18 
12 - 2y = 18 

-2y = 6 (subtract 12 from both sides of equation) 

y = -3 (divide by -2 on both sides of equation)

x= 4, y= -3