How many solutions of equation 2x+1=x-3 are there:a)on the number line b)on cartesian plane

Asked by nilangi | 20th Oct, 2013, 10:08: AM

Expert Answer:

Given equation is 2x + 1 = x - 3
 
That is 2x - x = -3 - 1
 
That is x = -4
 
Thus there is only one point on the number line that satisfies the equation x = - 4
 
The representation of the solution x = -4 on the number line is as follows:
 
 
On cartesian plane there are infinite number of solutions that satisfies the equation x = -4
 
On cartesian plane x = -4 is the line parallel to y - axis with a distance of 4 units from the y- axis in the negative direction.
 
Now let us observe the graph of the equation x = -4 on the cartesian plane.

Answered by Vimala Ramamurthy | 20th Oct, 2013, 11:42: AM

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