Question

For which system of equations is (5, 3) the solution?
A.
3x – 2y = 9
3x + 2y = 14
B.
x – y = –2
4x – 3y = 11
C.
–2x – y = –13
x + 2y = –11
D.
2x – y = 7
2x + 7y = 31

Answer 1

plug in 5 for x and 3 for y in the equations and see if the left side and right side are equal. if they are equal then (5,3) is a solution.

Answer 2

That didnt really help much.

Answer 3

oh then let me show u an example.
let;s consider the first choice.
3x – 2y = 9
3x + 2y = 14
nw consider the lhs of first equation which is 3x-2y.
substitutinx 5 for x and 3 for y gives
3*5-2*3=15-6=9
so lhs=rhs
so (5,3) is a solution of this equation.
consider the lhs of the second equation
3x+2y=3*5+2*3=15+6=21
lhs is not equal to rhs. hence it is not a solution of this equation.
hence (5,3) is not a solution of this system of equations. hence this is not the right option