# How do you solve the following system?: # 8x - 2y = - 4 , -4x + 2y = 2 #

##### 1 Answer

Mar 24, 2018

#### Answer:

#### Explanation:

#8xcolor(red)(-2y)=-4to(1)#

#-4xcolor(red)(+2y)=2to(2)#

#"adding equations "(1)" and "(2)" eliminates the y-term"#

#(1)+(2)" term by term on both sides"#

#(8x-4x)+(-2y+2y)=(-4+2)#

#rArr4x=-2#

#"divide both sides by 2"#

#(cancel(4) x)/cancel(4)=(-2)/4#

#rArrx=-1/2#

#"substitute "x=-1/2" into either of the 2 equations"#

#(2)rArr2+2y=2#

#rArr2y=2-2=0rArry=0#

#"the solution is "(x,y)to(-1/2,0)#