vestirme4
2021-09-21
Solve each system of equations using substitution. State whether the system is inconsistent or consistent with dependent equation.
Jayden-James Duffy
Skilled2021-09-22Added 91 answers
Step 1
An inconsistent system is a set of equations that has no solutions. Consistent systems, on the other hand, have at least one resolution. This means there is at least one intersection of the lines. If a consistent system has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it is dependent.
Step 2
We have,
y=4x-1...(1)
And
8x-2y=2
Upon further solving, we obtain the outcome as
8x-2y=2
8x-2=2y
y=4x-1...(2)
From equation (1) and (2), both lines represents the same equation of line.
Thus, the lines are coincident and therefore there are an infinite number of solutions. This is a consistent-dependent system.
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