Question 1 :
Find x and y if
Solution :
4x - 2y = 4 ------(1)
-3x + 3y = 6 -----(2)
Dividing (1) by 2, we get
2x - y = 2
Dividing (2) by 3, we get
-x + y = 2
By adding these two equations, we get
2x - y - x + y = 2 + 2
x = 4
By applying the value of x, we get
-4 + y = 2
y = 2 + 4
y = 6
Question 2 :
Find the non-zero values of x satisfying the matrix equation
Solution :
12x = 48
x = 48/12
x = 4
Question 8 :
Solve for x, y :
Solution :
x2 - 4x = 5 ------(1)
y2 - 2y = 8 ------(2)
x2 - 4x - 5 = 0
x2 - 1x - 5x + 5 = 0
x(x - 1) - 5(x - 1) = 0
(x - 1)(x - 5) = 0
x = 1 and 5
y2 - 2y = 8
y2 - 2y - 8 = 0
y2 - 4y + 2y - 8 = 0
y(y - 4) + 2(y - 4) = 0
(y + 2) (y - 4) = 0
y = -2 and 4.
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