Asked by Cheezel
Solve the equation 5x-3y=14 and 3x+5y=18 using substitution.
The ans is x=3 11/17 and y= 1 7/17
I couldn't get the above answers, could someone show me clearly how to get those answers, thank you.
The ans is x=3 11/17 and y= 1 7/17
I couldn't get the above answers, could someone show me clearly how to get those answers, thank you.
Answers
Answered by
Steve
From the first equation, x = (3y+14)/5
Use that in the other equation to get
3(3y+14)/5 + 5y = 18
9y+42 + 25y = 90
34y = 48
y = 48/34 = 24/17 = 1 7/17
x = (3y+14/5) = (72/17 + 14)/5 = 310/85 = 3 55/85 = 3 11/17
You could also have used other substitutions for x, or using the other equation to start with.
Use that in the other equation to get
3(3y+14)/5 + 5y = 18
9y+42 + 25y = 90
34y = 48
y = 48/34 = 24/17 = 1 7/17
x = (3y+14/5) = (72/17 + 14)/5 = 310/85 = 3 55/85 = 3 11/17
You could also have used other substitutions for x, or using the other equation to start with.
Answered by
Anonymous
Bad answer
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