Question

9x + 5y = 28 5x + 9y = 56 The solution set for the system of equations is . NextReset

Answer 1

5(9x+5y=28)-9(5x+9y=56)=0

(45x+25y=140)-(45x+81y=504)=0

45x+25y-45x-81y=-364

-56y=-364

y=6.5, now use either original equation to solve for x...

9x+5(6.5)=28

9x+32.5=28

9x=-4.5

x=-0.5

So the single solution (x,y) is (-0.5, 6.5)

Answer 2

The solution set would be (-0.5,6.5). Make sure to put the negative first since it is the smaller number.