Two lines in a plane can intersect,overlap or be parallel.When two lines intersect they have a common point which lies on both line.This is called solution of the two simultaneous equation which when graphed represent straight lines. Adding the two equations uses Elimination method to solve for x and y. The x and y value obtained is the common point lying on both the lines.
2x - 3y = 1
+ 2x + 3y = 2
4x =3 Or x=3/4
Substituting x value in any of the two-equation we can find the corresponding y value .
2x-3y=1
2(3/4) - 3y =1
Solving for y
y= 1/6
The point of intersection of the two lines is ( 3/4, 1/6)
Learn more about simultaneous equation here:brainly.com/question/16863577
#SPJ4
Answer:
z = -3
Step-by-step explanation:
42 = -7 ( z-3)
42 = -7z + 21
21 = -7z
z = -3
932 divided by 6 is 155.166666667
So.
Booths : B
Tables : T
11T + 20B = 182
11T + 22B = 198
( I found he difference in total.)
198 - 182 = 16
(16 divided by the number of difference in Booths)
16 / 2 = 8
( So each Booth seats 8 people- now plug in for B)
11T + 20(8) = 182
11T + 160 = 182
(Move the 160 over to leave T by itself, subtract since it's a positive number)
11T = 182 - 160
11T = 22
(Move the 11 to find T, divide since it's with a Variable)
T = 2
(Plug in your findings for T and B to check if hey are right.)
11(2) + 20(8) = 182
(22) + (160) = 182
182 = 182
And that's how you do it!
I hope it helps!!
Answer:
They both have the same slope of 3
Step-by-step explanation: