Steve for the two answer you gave me could you show me more detail how you came up with answers please Thanks

Answer 1

another way is called elimination. You have

5x - 9y = 7
7y - 3x = -5

Rearrange terms a bit to get

5x - 9y = 7
-3x + 7y = -5

To get rid of the x values, find the LCM of 5 and 3: 15. Now multiply things a bit to get

15x - 27y = 21
-15x + 35y = -25

Now you can add the two equations and the x terms disappear:

8y = -4
y = -1/2

Now substitute that into either equation, and solve for x.