7th grade work (: haha
1 answer:
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Answer:
The system is dependent:
x=-3t-7
y=-5t-15
z=t
Step-by-step explanation:
I chose to use a matrix to solve this system of equations. Once put into matrix form, you need to row reduce the system into its simplest form (Row Reduced Echelon form). Doing this, we find that the system is dependent on the z variable. And following usual procedures, we let z equal some other letter; which is t in this case. Then we isolate each variable to get the answer.
Check the attachment for the work.
[The arrows indicate a row swap and the parenthesis indicates addition if a constant multiple of one row to another]
Equation has no true solutions.
Given:
squaring both sides
=-2y-3
+ 2y = -2y - 3
+ 2y + 4 = 0
(y+2)(y+2) = 0
y = -2
TO VERIFY:
The law cos(x+90⁰)=-sin(x) can be proved by putting y=90⁰ in the following
Formula,
cos(x+y)=cos(x).cos(y)-sin(x).sin(y)
substitute value of y in equation
gives:
-1 = 1 which is incorrect.
Therefore, There are no solutions to the equation.
Alternatively,
If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. This type of system of equations is called an inconsistent pair of linear equations. If we plot the graph, the lines will be parallel and system of equations have no solution.
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