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.
R/ r+ 15 = 3/8
Cross multiply: top of one side multiplied by bottom of other side:
R x 8 = 3 x r+ 15
Simplify:
8r = 3r + 45
Subtract 3r from both sides:
5r = 45
Divide both sides by 5:
R = 9
Answer:
the nearest thousand is 15 000.00
Answer: A
Step-by-step explanation:
it all refelects over the x=6
1. The information given in the problem above, is:
- Austin purchases <span>2/3 of a pound of yum yum treats.
- Y</span><span>um yum treats are $6.00 per pound (1 pound=$6.00).
2. Keeping this on mind you have: If 1 pound of </span>yum yum treats is $6.00, how much is 2/3 of a pound?
1 pound------------$6.00
2/3 of a pound----x
x=(2/3)(6.00)/1
x=(2/3)(6.00)
x=12/3
x=$4.00
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Therefore: How much does Austin pay?
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The answer is: Austin pays $4.00.