Graph these equations: x+2y=6, y=-1/2x+4 How many solutions does the system of equations have?
1 answer:
Answer:
The system has no solution
Step-by-step explanation:
we have
Isolate the variable y
Divide by 2 both sides
---> equation A
---> equation B
Compare the equations
Equation A and equation B have the same slope and different y-intercept
Remember that
If two lines have the same slope, then the lines are parallel
The solution of the system is the intersection point both graphs
In this problem, the lines don't intersect, therefore, the system has no solution
using a graphing tool
The graph in the attached figure
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Answer:
Step-by-step explanation:
Alvin takes pictures with his smartphone.
Of the pictures are animals.
of the animals are dogs.
To find which fraction of all pictures are pictures with dogs, you can simply multiply two fractions:
<u>Another way</u> to solve this question:
Let the number of all pictures be 24 (divisible by both 4 and 6).
Then the number of pictures with animals is
and the number of pictures with dogs is
Hence, the fraction of pictures with dogs of all pictures is