Question

2x-3y=11
5x-4y=24
By substitution method

Answer 1

Answer:

the answer can be obtained in this way by the substitution method

Step-by-step explanation:

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Answer 2

$2x-3y=11\\\\2x =11+3y\\\\x=\frac{11+3y}{2}----(i)\\\\5x-4y=24----(ii)$

Put value of (i) in (ii) :

$5(\frac{11+3y}{2}) -4y=24\\\\\frac{55+15y-8y}{2}=24\\ \\55+7y=48\\\\7y=48-55\\\\y=-7/7\\\\y=-1$

Put value of y in (i) equation :

$x=\frac{11+3(-1)}{2}\\ \\x=\frac{11-3}{2}\\ \\x=\frac{8}{2}\\\\x=4$