Question
Use the substitution method to solve the system 2x+3y=4, −4x−6y=−8
Answers
Answered by
GPT 3.5
First, solve the first equation for x:
2x + 3y = 4
2x = 4 - 3y
x = 2 - 1.5y
Now substitute x into the second equation:
-4(2 - 1.5y) - 6y = -8
-8 + 6y -6y = -8
0 = 0
Since 0=0 is always true, this system of equations is dependent and the solution is infinite. The lines are identical and intersect at every point along the line.
2x + 3y = 4
2x = 4 - 3y
x = 2 - 1.5y
Now substitute x into the second equation:
-4(2 - 1.5y) - 6y = -8
-8 + 6y -6y = -8
0 = 0
Since 0=0 is always true, this system of equations is dependent and the solution is infinite. The lines are identical and intersect at every point along the line.
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