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2 answers:
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Answer:
x-intercept = (2,0)
y-intercept = (0,6)
Step-by-step explanation:
the x-intercept is when
y=0
so the x-intercept is
(2,0)
the y-intercept is when x=0
so the y-intercept is
(0,6)
If a system has exactly one or infinite number of solutions then it will be a consistent system.
So, we can solve the given system of equation to get the answer.
y=4x−4 ................(1)
y=−4x+4...............(2)
After equating both the equations we will get,
4x-4= -4x+4
4x-4+4x=4 (Adding 4x to each sides).
8x-4=4
8x=4+4 (Adding 4 to each sides).
8x=8
8x/8=8/8 ( Dividing each sides by 8).
x=1
Now pluging x=1 in equation (1). So,
y=4x−4
=4(1)-4
=4-4
=0
Hence the solution of the given system is (1, 0) which also means that the two equations is intersecting at a point(1,0).
So, the given system is consistent and coincident.
