Question

pls help!!!!, will give brainliest i need answer asap!!!

Find the solution set for the system of equations
9x + 5y = 28
5x + 9y = 56

A) (-5/9, 0 )
B) (-1/2, 13/2)
C) (0, 11/2)
D) (3, 9/2)

Answer 1

The given equations are 9x + 5y = 28 and 5x + 9y = 56. You can solve this two equations by either substitution or elimination. 

9x + 5y = 28
9x = 28 - 5y
x = 28/9 - 5y/9

5x + 9y = 56
5(28/9 - 5y/9) + 9y = 56
140/9 - 25y/9 + 9y = 56
y = 13/2

x = 28/9 - 5y/9
x = 28/9 - (5/9)(13/2)
x = -1/2

The answer is (-1/2, 13/2).