5. Solve the following pair of linear equations by using cross multiplication method. 2x + y = 5; 3x + 2y = 8.
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Answer:
Step-by-step explanation:
2x + y = 5
3x + 2y = 8
x = b1c2 - b2c1
a1b2 - a2b1
y = c1a2 - c2a1
a1b2 - a2b1
These are the shortcut formula for cross multiplication . These are allowed by CBSE . So it can be useful
Here :
a1 = 2 , b1 = 1 , c1 = -5
a2 = 3 , b2 = 2 , c2 = -8
x = b1c2 - b2c1
a1b2 - a2b1
x = 1(-8) - 2 (-5)
2 (2) - 3 (1)
x = -8 + 10
4 - 3
x = 2
y = c1a2 - c2a1
a1b2 - a2b1
y = (-5) (3) - (-8) (2)
2(2) - 3 (1)
y = -15 + 16
4 - 3
y = 1
SO THE VALUE OF X AND Y ARE 2 AND 1 RESPECTIVELY
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