How can 1/2x - 5 = 1/3x + 6 be set up as a system of equations?
2 answers:
Answer:
Step-by-step explanation:
Set up as a system of equation
To get system of equations, we set each side of the given equation equals to y
Multiply whole equation by 2. That is we multiply each term by 2
Subtract x on both sides
(first equation)
Multiply whole equaiton by 3
Subtract x on both sides
(second equation)
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so these two lines intersect at x = 3 hmmmm what's the y-coordinate of the second line at that point?
so the y-coordinate of that second line is 0, so the point there is (3, 0) then.
so the first line is, a line that has a slope of 2 and passes through (3, 0).
Answer:
The given equation is
ax b= 0,
As we see that, it is a linear equation in one variable containing two constant.
So , a≠ 0 [then equation has no meaning.If a=0 , then , which is meaningless]. ∴ a=0 is incorrect.
Similarly , b≠ 0 [ Reason same as above]. ∴b=0 is incorrect.
⇒3 x=0
⇒x=0 is the correct response.
Let me explain by this giving an example
⇒5 x=0
⇒ x=0 but 5≠0
So, x=0 or 3 x=0 is correct response.