For the following system of equations, determine how many solutions there are. y = 5x + 12 and y = 5x + 18

The equations y = 5x+12 and y = 5x+18 are each in the form y = mx+b

We see both have the same slope m = 5, but different y intercepts. Therefore, these equations produce parallel lines. Parallel lines never intersect. Recall that an intersection point is a visual representation of a solution to a system.

The lack of intersection points tells us the system doesn't have any solutions. We consider this system to be inconsistent.

answer: b.48 for

step-by-step explanation:

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13