Part A: Create a system of linear equations with no solution. In two or more complete sentences, explain the specific characteri
stics that you included in each equation to ensure that the system would not have a solution. Part B: Using one of the equations that you created in Part A, create a system of linear equations that has one solution (x, y). Use substitution to solve the system.
Part A. You need two equations with the same slope and different y-intercepts. Their graph is parallel lines. Since the lines do not intersect, there is no solution.
y = 2x + 2 y = 2x - 2
Part B. We use the first equation as above. For the second equation, we use an equation with different slope. Two lines with different slopes always intersect.
y = 2x + 2 y = -2x - 2
In the second equation, y = -2x - 2. We now substitute -2x - 2 for y in the first equation.
-2x - 2 = 2x + 2
-4x = 4
x = -1
Now substitute -1 for x in the first equation to find y.
Not sure how to do it in this form but in slope intercept form for example if the slope was -4/3 the perpendicular would be 3/4 it’s the negative reciprocal of the answer
A unit of volume equal to that of a cube having sides each one decimetre in length, equal to 10-3 cubic metres and 1 litre. Commonly used in fluid measure and for engine sizes.
