Where would the equations 2x + 15y = 13 and -3x + 5y = 8 intersect on a coordinate plane?

(-1;1)

Step-by-step explanation:

We have the system of equations:

2x + 15y = 13

-3x + 5y = 8

Let's subtract the second equation from the first:

2x - (-3x) + 15 - 5y = 13 - 8

5x + 10y = 5

x + 2y = 1

Now from this equation find x:

x = 1-2y

And substitute it in the second equation:

-3(1-2y) + 5y = 8

-3 + 6y +5y = 8

11y = 11

y = 1

And plug this y value in the first equation:

2x + 15 = 13

x = -1

answer: the common difference is -0.10