Draw the graph of the equation 2y-x =5.Also determine from the graph whether x = 3, y =2 is its solution.
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Step-by-step explanation:
REF.Image
Writing the given equations in standard form :
∴2y+x=7
⇒
7/2
y
+
7
x
=1
so y intercept will be 7/2 = 3.5
and x intercept will be 7
2x+y=8
⇒
4
x
+
8
y
=1
so y inetrcept will be 8
x inetrcept will be 4
finding point of intersection :
2y+x=7
x=7−2y ... (1)
2x+y=8
from equation (1)
2(7−2y)+y=8
14−4y+y=8
3y=6
y=2
∴x=3
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