4х – у = 5
5у — 4х = 7
Solve by cross multiplication method
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Solve, using cross-multiplication :
4x - y = 5
5y - 4x = 7
Sum
SOLUTION
Given equation are 4x - y = 5 and 5y - 4x = 7
Comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, We have
a1 = 41, b1 = - 1, c1 = - 5 and a2 = - 4, b2 = 5, c2 = - 7
Now, x = b1c2-b2c1/a1b2-b1a2
y= c1a2-c2a1/a1b2-b1a2
b1c2-b2c1a1b2-a2b1 and y=c1a2-c2a1a1b2-a2b1
⇒ x = -1×(-7)-5×(-5)÷4×5-(-4)×(-1) and
y=(-5)×(-4)-(-7)×4÷4×5-(-4)×(-1)
x=7+2520-4 andy=20+2820-4
⇒ x = 3216 andy=4816
⇒ x = 2 and y = 3
Step-by-step explanation:
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