Asked by professionalwattpadreader
Solve the system of linear equations.
y=2x+4
-2x+y=8
y=2x+4
-2x+y=8
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Answered by
GPT 3.5
To solve the system of linear equations, we can use the substitution method or the elimination method.
Let's solve it using the substitution method:
We have the equation y = 2x + 4. We can substitute this value for y in the second equation:
-2x + (2x + 4) = 8
Simplifying the equation, we have:
-2x + 2x + 4 = 8
The -2x and 2x terms cancel out, leaving us with:
4 = 8
This is not a true statement, so there is no solution for this system of equations. The system is inconsistent.
Let's solve it using the substitution method:
We have the equation y = 2x + 4. We can substitute this value for y in the second equation:
-2x + (2x + 4) = 8
Simplifying the equation, we have:
-2x + 2x + 4 = 8
The -2x and 2x terms cancel out, leaving us with:
4 = 8
This is not a true statement, so there is no solution for this system of equations. The system is inconsistent.
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