What is the y- value of the solution to the linear system below?
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Answer: y = 6
y = -3x - 12
y = 3x + 24
Use elimination method to get 2y = 12 so y = 6.
Answer: the last option is the correct answer.
Step-by-step explanation:
The given system of equations is expressed as
y = - 3x - 12- - - - - - - - - - - - -1
y = 3x + 24- - - - - - - -- - - - - - -2
We would apply the method of elimination. Since x has the same coefficient and the sign is opposite, we would eliminate x by adding equation 1 to equation 2. It becomes
y + y = - 3x + 3x - 12 + 24
2y = 12
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2y/2 = 12/2
y = 6