Solve by the linear combination method (with or without multiplication).

2x + 3y = –17
5x + 2y = –4

A.

(3, –1)

B.

(–2, 2)

C.

(–1, 3)

D.

(2, –7)

Question

Solve by the linear combination method (with or without multiplication).

    2x + 3y = –17
    5x + 2y = –4
 
	
	
 
A.
	

(3, –1)
	
 
B.
	

(–2, 2)
	
 
C.
	

(–1, 3)
	
 
D.
	

(2, –7)

anonymous · Answer

if you can add the equations and one variable will be as big in the first as it will be negative in the second, then that variable gets eliminated

imstuck · Answer

Let's multiply the first equation by -2 and the second equation by 3.  Let see why$$-2(2x+3y=-17)=-4x-6y=34$$$$3(5x+2y=-4)=15x+6y=-12$$The y's will cancel because wee have  of them then we are taking 6 of them away.  Now we only have equations with x's in them.  Let's solve for x.  First, here's what we are left with: 11x = 22.  Solve for x.  When you find x, sub that in for an x in one of the equations you were given at the start and solve for y.  If you have problems with this, let us know.