solution of a linear equation 2x+4y=8and x+y=4will be
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Answer:Given, x+2y=10
⇒x=10−2y
For y=3
x=10−2(3)=4
For y=4
x=10−2(4)=2
x 4 2
y 3 4
For 2x+4y=8
⇒x+2y=4
⇒x=4−2y
For y=1
x=4−2(2)=2
For y=3
x=4−2(3)=−2
x 2 −2
y 1 3
The graph x+2y=10 cuts the x and y-axis at (10,0) and (0,5) respectively, while the graph of 2x+4y=8 cuts the x and y-axis at (4,0) and (0,2) respectively.
Since the graph consists of a pair of parallel lines, the system of equations has no solution.
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