Solve the pair of linear equations graphically x + 2y = 6 and 2x + 4y = 8
Answers
Answer
We find three points for each equation, by choosing three values of x and computing the corresponding y values. We show our results in tables.
Line 1: x+2y=4
2y=−x+4⇒y=−
2
x
+2
Substituting x=−2,0,2 in the above equation, we get the corresponding y values as
y=−
2
x
+2
x −2 0 2
−
2
x
1 0 −1
y=−
2
x
+2 3 2 1
Line 2: 2x+4y=8
4y=−2x+8⇒y=−
2
x
+2
Substituting x=−4,0,4 in the above equation, we get y values as
y=−
2
x
+2
x −4 0 4
−
2
x
2 0 −2
y=−
2
x
+2 4 2 0
We plot these points in a graph paper and draw the lines. Then we find that both the lines coincide. Any point on one line is also a point on the other. That is all points on the line are common points. Therefore each point on the line is a solution. Hence there are infinitely many solution.
Answer:
hey the above simultaneous equations have infinitely many solutions
ie the lines of both graphs would be parallel
ie a1/a2=b1/b2=c1/c2
the slope of both lines are equal
hence lines are parallel as slope of both lines are equal
please mark it as brainliest
