Sove for x and y 1.5x-7y=2. 0.625x+3y=-2.125.

We'll re-write the equations:

1.5x
- 7y = 2

15x/10 - 7y = 2

3x/2 - 7y =
2

We'll multiply by 2:

3x - 14y = 4
(1)

0.625x+3y=-2.125.

625x/1000 + 3y =
-2125/1000

We'll simplify the ratios by
25:

25x/40 + 3y = 85/40

We'll simplify
the ratios by 5:

5x/8 + 3y = 17/8

5x +
24y = 17 (2)

We'll use determinats to solve the
system:

det A = 3*24 - 5*(-14) = 72 +
70

det A = 142

Since det A is different
from zero, the system has a determined solution.

x = det X/det
A

142x = -14*17 - 24*(-14)

142x =
-142

x = -1

3x - 14y =
4

-3 - 14y = 4

14y =
-3-4

14y = -7

y =
-7/14

y = -1/2