# Using the elimination method, what is the ordered pair 3x - 6y = 5 3x - 6y = 6?

##### 2 Answers

Oct 1, 2017

#### Explanation:

#"the left side of both equations are identical"#

#"thus subtracting them will eliminate both x"#

#"and y terms"#

#"expressing both equations in "color(blue)"slope-intercept form"#

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#3x-6y=5rArry=1/2x-5/6#

#3x-6y=6rArry=1/2x-1#

#"both lines have the same slope and are therefore"#

#"parallel lines with no intersection"#

#"hence the system has no solution"#

graph{(y-1/2x+5/6)(y-1/2x+1)=0 [-10, 10, -5, 5]}

Oct 13, 2017

As both the equations have same value on L H S but different values on R H S, the equations are inconsistent and hence no solution.