Question

Solve the following system of equations, and round you answer to the nearest tenths.
5x+2y=7
-2x+6y=9

Answer 1

y=59/34

Answer 2

5x + 2y = 7 --->(-3)
-2x + 6y = 9
---------------
-15x - 6y = -21 (result of multiplying by -3)
-2x + 6y = 9
--------------add
-17x = - 12
x = 12/17

-2x + 6y = 9
-2(12/17) + 6y = 9
-24/17 + 6y = 9
6y = 9 + 24/17
6y = 153/17 + 24/17
6y = 177/17
y = (177/17) / 6
y = 177/17 * 1/6
y = 177/102 = 59/34

check..
-2x + 6y = 9
-2(12/17) + 6(59/34) = 9
-24/17 + 354/34 = 9
-48/34 + 354/34 = 9
306/34 = 9
9 = 9 (correct)

x = 12/17
y = 59/34

Answer 3

whoah, it's a lot of fractions, but it makes sense, thanks!:)