FInd three consecutive even integers such that three times the smallest is four more than twice the largest
1 answer:
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1. Substitute y=-x+2 into x-3y=-18:
x-3(-x+2)=-18,
x+3x-6=-18,
x+3x=-18+6,
4x=-12,
x=-3.
Then y=-(-3)+2=3+2=5.
2. The graphs of two equations you can see in attached diagram. Common point (the point of intersection) represents the solution of the system of two equations.
Answer: (-3,5) or x=-3, y=5.
Given:
The given point is (4,12).
To find:
The equation that would NOT contain the point (4,12).
Solution:
We need to check each equation for the point (4,12).
In option A, the given equation is:
Putting , we get
This equation contains the point (4,12).
In option B, the given equation is:
Putting , we get
This equation does not contain the point (4,12).
In option C, the given equation is:
Putting , we get
This equation contains the point (4,12).
In option D, the given equation is:
Putting , we get
This equation contains the point (4,12).
Only the equation in option B does NOT contain the point (4,12). Therefore, the correct option is B.
Answer: C:10
Step-by-step explanation:
Equation of a line passes through (a,b) and (c,d) :
Equation of line passes through A(-2,8) and B(4,14) will be :
For y-intercept , put x= 0 , we get y= 10
So, the y-intercept = 10
Thus , correct option = C:10