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Question

Solve the equations graphically: 7x+8y=64 and x+4y=12

A
(8,1)
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B
(8,1)
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C
(8,1)
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D
(8,1)
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Solution

The correct option is B (8,1)
7x+8y=64 ----- (1)
x+4y=12 ----- (2)
From equation (1) assume the value of x and y to satisfy the equation to zero.
7x+8y64=0 ------ (3)
Put x=0,y=8 in equation (3)
7(0)+8(8)64=0
0+6464=0
0=0
Again put x=8,y=1 in equation (3)
7(8)+8(1)64=0
56+864=0
0=0
Now plotting (0,8),(8,1) and joining them, we get a straight line.
From equation (2) assume the value of x and y to satisfy the equation to zero.
x+4y12=0 ----- (4)
Put x=0,y=3 in equation (4)
0+4(3)12=0
1212=0
0=0
Again put x=8,y=1 in equation (4)
8+4(1)12=0
8+412=0
0=0
Plotting (0,3),(8,1) and joining them, we get another straight line.
These lines intersect at the point (8,1) and therefore the solution of the equation is x=8,y=1

800630_447224_ans_205fea87918f49e584fad85e9a953723.png

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