Question

143x+193y=189
93x+141y=45

Answer 1

$$143X + 193Y = 189$$ $$93X + 141Y = 45$$

**Solution:**

We should express X from the first equation:

$$X = \frac{189}{143} - \frac{193Y}{143}$$

Put this X-value to the second equation:

$$93 * \left( \frac{189}{143} - \frac{193Y}{143} \right) + 141Y = 45$$

Divide by 93

$$\left( \frac{189}{143} - \frac{193Y}{143} \right) + \frac{141Y}{93} = \frac{45}{93}$$

Multiply by $143 * 93$:

$$17577 - 17949Y + 20163Y = 6435$$

Collect similar terms:

$$2214Y = -11142$$

and find

$$Y = -\frac{11142}{2214} = -\frac{619}{123} \approx -5.0$$ $$X = \frac{189}{143} - \frac{193Y}{143} = \frac{998}{123} \approx 8.1$$