Solve the equation 5x-3y=14 and 3x+5y=18 using substitution.

Question

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.

Answer 1

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.

Answer 2

Bad answer