Question

4x + 5y = 2, 7x - 64y = 33 Solve by cross multiplication​

Answer 1

Answer:

3 and -2

Step-by-step explanation:

4x + 5y = 2....(1)

7x - 64y = 33....(2)

Using formula for cross multiplication method which is shown in attached figure

where a1 = 4, a2 = 7, b1= 5, b2 = -6, c1=2 and c2=33

From (1) and (2) we write the values of a, b and C.

$= \frac{x}{5 \times 33 - ( - 6) \times 2} = \frac{y}{2 \times 7 - 4 \times 33} = \frac{ - 1}{4 \times ( - 6) - 7 \times 5}$

$= \frac{x}{165 + 12} = \frac{y}{14 - 132} = \frac{1}{59}$

$= \frac{x}{177} = \frac{1}{59}$

$= x= \frac{177}{59} = 3$

Similarly,

$y = - 2$

Hence the required value of x and y are 3 and -2 respectively.

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