Write four solutions for each of the following equations:
(i) 2x + y = 7
(ii)
(iii) x = 4y
(i) 2x + y = 7
y = 7 – 2x
Put x = 0,
y = 7 – 2 * 0
y = 7
(0, 7) is the solution of the equation
Now,
Put x = 1
y = 7 – 2 * 1
y = 5
(1, 5) is the solution of the equation
Now,
Put x = 2
y = 7 – 2 * 2
y = 3
(2, 3) is the solution of the equation
Now,
Put x = -1
y = 7 – 2 * - 1
y = 9
(-1, 9) is the solution of the equation
The four solutions of the equation 2x + y = 7 are:
(0, 7),
(1, 5),
(2, 3)
and (-1, 9)
(ii) πx + y = 9
y = 9 – πx
Now,
Put x = 0
y = 9 – π * 0
y = 9
(0, 9) is the solution of the equation
Now,
Put x = 1
y = 9 – π * 1
y = 9 - π
(1, 9 - π) is the solution of the equation
Now,
Put x = 2
y = 9 – π * 2
y = 9 – 2 π
(2, 9 - 2 π) is the solution of the equation
Now,
Put x = -1
y = 9 – π * 1
y = 9 + π
(-1, 9 + π) is the solution of the equation
The four solutions of the equation πx + y = 9 are:
(0, 9),
(1, 9 – π),
(2, 9 - 2 π)
and (-1, 9 + π)
(iii) x = 4y
Now,
Put x = 0
0 = 4y
y = 0
(0, 0) is the solution of the equation
Now,
put x = 1
1 = 4y
y = 1/4
(1, 1/4) is the solution of the equation
Now,
Put x = 4
4 = 4y
y = 1
(4, 1) is the solution of the equation
Now,
Put x = 8
8 = 4y
y = 2
(8, 2) is the solution of the equation
The four solutions of the equation πx + y = 9 are:
(0, 0),
(1, 1/4),
(4, 1),
and (8, 2)