A direct variation always goes through the origin of the coordinate plane. TrueFalse
1 answer:
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Answer:
we have the following system of equations
we know that
The intersection of both graphs is the solution of the system of equations
using a graph tool
see the attached figure
the solution is the point
therefore
the answer is
the solution of the system of equations is the point
Step-by-step explanation:
The given equation are
..... (1)
..... (2) Add both equations.
Subtract both sides by 2.
Divide both sides by 2.
Put this value in equation 1
Add 1 on the both sides.
Therefore the solution of given system of equations is (-1,1).
Solution of system of equation graphically.
Plot both lines on the graph.
Put x=0, the find the y-intercept of both equations.
Put x=1, the find the y-intercept of both equations. Therefore first line passing through the points (0,0) and (1,-1).
Put x=0, the find the y-intercept of both equations.
Similarly, put y=0 in second equation.
y-intercept of second equation is (-2,0).
Therefore second line passing through the points (0,2) and (-2,0).
From the graph it is noticed that both the line intersect on the point (-1,1), therefore solution of given system of equations is (-1,1).
The solution of given system of equations is (-1,1).
