(r,s)=(2,-1)
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Answer: 0
Step-by-step explanation: First substitute 7 for x and y
7^3-7^3 = 0
Answer:
They have collected 375 cans of food.
Step-by-step explanation:
In conducting a canned-food drive,the goal of the school is to collect a total of 500 cans of food. They have reached 6/8 of their goal. This means that they have collected 6/8 of the total number of cans of food that they intended to collect. The number of cans of food that they have collected would be
6/8 × 500 = 375 cans of food.
To get the solution of a set of equations means to get a point that satisfies both equations.
Part (1):The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this casePart (2): The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line.
Therefore, we have infinite number of solutionsPart (3):We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.