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Question

Draw the graph of equation2y+x=7 and2x+y=8 on the same co-ordination system . Write the pt of intersection.

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Solution

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Writing the given equations in standard form :
2y+x=7
y7/2+x7=1
so y intercept will be 7/2 = 3.5
and x intercept will be 7
2x+y=8
x4+y8=1
so y inetrcept will be 8
x inetrcept will be 4
finding point of intersection :
2y+x=7
x=72y ... (1)
2x+y=8
from equation (1)
2(72y)+y=8
144y+y=8
3y=6
y=2
x=3

1118764_1200827_ans_19500bcf2da246ff8289bf03b45bbdc1.jpg

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