Please can someone help me with this question
2 answers:
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Answer:
None of the systems is equivalent to the given system
Step-by-step explanation:
we have the given system
---> equation A
---> equation B
Solve the system
Adds equation A and equation B
Find the value of y
------>
The solution of the given system is the point (4,1)
we know that
If a system is equivalent to the given system, then the solution of both systems must be the same
<em>Verify each case</em>
case A) 2x - y = 18 and x + 2y = 10
---> equation A
---> equation B
Substitute the value of x and y in both equations and then compare the results
<em>equation A</em>
----> is not true
therefore
the system is not equivalent to the given system
case B) 4x - 3y = 18 and x + 2y = 10
---> equation A
---> equation B
Substitute the value of x and y in both equations and then compare the results
<em>equation A</em>
----> is not true
therefore
the system is not equivalent to the given system
case C) 2x - 3y = 3 and x + 2y = 5
---> equation A
---> equation B
Substitute the value of x and y in both equations and then compare the results
<em>equation A</em>
----> is not true
therefore
the system is not equivalent to the given system