Question

What is the value of the y variable in the solution to the following system of equations?
5x + 3y = 7
3x - 5y = -23

-1

1

-4 <-- this is what i got I'm not sure if its correct

4
please correct me if I'm wrong

Answer 1

5x + 3y = 7 ------(1
3x - 5y = -23 ------(2
Multiplying eq (1 by by and eq (2 by 3 and adding (1 and (2 we find
25x + 15y = 35 ------(1
9x - 15y = -69 ------(2
---------------------------
34 x= -34
x= -34/34
i.e. x= -1

Plugging x= -1 in eq (1 we find;
5*(-1) + 3y = 7

i.e. -5+3y = 7
i.e. 3y = 7+5
i.e. 3y 12
i.e. y= 12/3
i.e. y= 4

Hence the value of y is 4.

@NadiaElhaj_1

Answer 2

yes, you are correct :)

Answer 3

thank you so much @dpasingh and @ellaponting