For the eqn. 3x+6y=12 if x=8 y=?
Answers
Step-by-step explanation:
The x value is given x=-2, the point ( -2,y) is ( x,y) is a point on the line 3x-6y = 12, so you need the value of y.
Substitute x = -2 into the equation, (3)(-2)-6y=12, -6 -6y =12, and
Add +6 to both sides, +6-6-6y=12+6, -6y = 18, divide by -6,
(-6y/-6) = (18/-6), y = -3 then the solution to this equation is ( -2,-3)
Check by substituting x=-2 and y=-3 into equation
3(-2) -6(-3) = -6+18 = 12 and therefore checks
The point ( -2,-3) is on the line 3x-6y =12 and it is one of the solutions, please remember that there are many other solutions to this equation of line with different values of x and corresponding value of y or vice versa.
Concept
A function assigns a unique value to to y given a value of x. Thus, by substituting a x value in the function we can obtain the corresponding y value.
Given
a function 3x+6y=12
and x=8
Find
we need to find the value of y
Solution
We have
3x+6y=12
and x = 8
substituting the value of x in the given equation we get
3(8) + 6y =12
18 + 6y = 12
Taking 18 to the right hand side we get
6y = 12 - 18
6y = -6
y = -6/6
y = -1
Thus if x=8, the value of y will be -1
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