To find the number of solutions of a system of linear equations you need to identify the slope (m) in each equation:
-If the slope is the same in both lines the system has no solution
-If the slope is different in the lines the system has one solution
-If the equation are the same (incluided the value of b) the system has infinitely many solutions
You have the next equations:
Write the equations in slope-intercept form y=mx+b (solve for y).
First equation:
Second equation:
As the equations have the same slope m = -1, the system has no solution (the line doesn't cross each other)
9) is 3. Drink = 3$. 18-3 = 15. 15 equals 5 candy bar so each bar is 3
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Answer: Second graph</h3>
Why? Because we draw a dashed line through x = -1/2 = -0.5 on the horizontal number line (aka x axis). Then we shade to the right of this dashed line. The shaded region represents all points that make the inequality true. For example, the point (0,0) is in the shaded region. It has an x coordinate of x = 0 which is larger than -1/2
Side note: the dashed line says "points on this boundary do not count as solutions". So any point with an x coordinate of -1/2 does not count.
Answer:
2
Step-by-step explanation:
Blue pants: 5
Zipper pants: 6
total amount of pants (blue, zipper or both): 9
to find the pants that have both qualities, we need to find the difference between the total amount of pants and the sum of the blue and zipper pants:
sum of blue and zipper pants: 5 + 6 = 11
you can tell that there is a difference of
11 - 9 = 2 pants
this means that these 2 pants belong to both categories (blue and with a zipper). Thus there are 2 pants that are blue and have a zipper
