please solve linear equations in 2 variable class 10
Answers
Explanation:
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Explanation:
Solve the following system of the linear equations graphically.
3x + y + 1 = 0
2x – 3y + 8 = 0
Answer
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Hint: In this question, first of all, get the two points passing from each line and draw the lines in x – y plane. Substitute x and y equal to 0 to get these points or any number of four choices. Now properly, see from the graph the point of intersection of this line which would be the solution of the equations.
Complete step-by-step answer:
In this question, we have to solve the following system of equations graphically.
3x + y + 1 = 0…..(i)
2x – 3y + 8 = 0…..(ii)
In this question, first of all, we will plot two lines and then check their point of the intersection by checking the point in the graph paper.
We know that to plot a line, we need at least two points through which it passes. So, by substituting x = 0 in equation (i), we get,
3(0)+y+1=0
⇒y+1=0
y=−1
So, we get x = 0 and y = – 1.
Now, let us substitute y = 0 in equation (i), we get,
3x+(0)+1=0
3x+1=0
3x=−1
x=−13
So, we get, x=−13
and y = 0.
So, for this line, we get,
x 0 −13
y – 1 0
By plotting these points in the graph, we get,
Similarly, by substituting x = 0 in equation