x/3 +y/4 =1/24 is in the form of ax+by+C =0 is *
0 4x+3y=2
O 3x+4y=2
O 8x+6y=-1
O 8x+6y-1 =0
of the form = my passes through
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Step-by-step explanation:
x – 2y = 0
3x + 4y = 20
The solution of this pair would be a pair (x, y). Let’s find the solution, geometrically. The tables for these equations are:
x 0 2
y = (1/2)x 0 1
x 0 4
y = (20 – 3x)/4 5 2
Now, take a graph paper and plot the following points:
A(0, 0)
B(2, 1)
P(0, 5)
Q(4, 2)
Next, draw the lines AB and PQ as shown below.
equations in two variables
From the figure above, you can see that the two lines intersect at the point Q (4, 2). Therefore, point Q lies on the lines represented by both the equations, x – 2y = 0 and 3x + 4y = 20. Hence, (4, 2) is the solution of this pair of equations in two variables. Let’s verify it algebraically:
x – 2y = 4 – 2(2) = 4 – 4 = 0 = RHS
3x + 4y = 3(4) + 4(2) = 12 + 8 = 20 = RHS
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