Solve the system by the elimination method. 2x + y - 4 = 0 2x - y - 4 = 0 When you eliminate y, what is the resulting equation?
x = 0 4x = -8 4x = 8
2 answers:
Answer:
Option C.
Step-by-step explanation:
System of the equation consists of two equations
2x + y - 4 = 0
2x + y - 4 + 4 = 0 + 4
2x + y = 4--------(1)
and 2x - y - 4 = 0
2x - y + 4 - 4 = 0 + 4
2x - y = 4------(2)
Now we will add these equations to eliminate y.
(2x + y) + (2x - y) = (4 + 4)
(2x + 2x) + (y - y) = 8
4x = 8
Therefore, resulting equation will be 4x = 8
Option C. will be the answer.
4x=8
This is because when you add the two expression together 2x+2x=4x the y values cancel and -4+-4=-8
4x-8=0 is equivalent to 4x=8
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