Algebra
posted by Tamia .
Please help to find x, y
1. 8xy=17
6x+y=11
2. 5x2y=17
2x+3y=3
Question no.1
8xy=17
6x+y=11 (adding the equation)
__________ (y and +y will be 0)
14x =28
Taking variables to one side
x=28
__
14
14*2=28
therefore x=2
substitute this value of x in equation 2
6x+y=11
6*2+y=11
12+y=11
y=1112
y=1
(x=2)and (y=1) is the solution of the given equation.
Instead of miley's suggestion, do the following:
Take the value of y in the first formula and substitute it for y in the second formula. Solve the second formula for x.
8xy=17
y=178x
y=8x17 (Value of y)
Once x is found, solve for y in the second formula. Check by inserting both values into the first formula.
I hope this helps much more. Thanks for asking.
Question no 2
5x2y=17 eq 1
2x+3y=3 eq 2
multiply eq 1 by 3
3*5x3*2y=3*17
15x6y=51 eq 3
Now multiply eq 2 by 2
2*2x+2*3y=2*3
4x+6y=6 eq 4
15x6y=51
__________
19x =57 (adding both the equations)
x=57
___
19
x=3
substitute this value of x in eq 2
2x+3y=3
2*3+3y=3
6+3y=3
3y=36
3y=3
y=1
(x=3) and (y=1) is the solution of the given equation.
x and the coeffecient cannot be subtracted so the substitution by adding is better
hey tamia can i know by which method are you solving the equation ?

the you is for my and how that the line of best fit equation is appropriate, mentioning both the slop and yintercept in your response