Ask AI: Find where the two lines intersect: 3x + 2y=15 x - y=10

To find where the two lines intersect, you'll need to solve the system of equations. One possible method is substitution: First, solve the second equation for x: x = y + 10. Then, substitute (y + 10) for x in the first equation: 3(y + 10) + 2y = 15, which simplifies to: 3y + 30 + 2y = 15, and then to: 5y + 30 = 15. Subtract 30 from both sides: 5y = -15. Then, divide by 5: y = -3. Substitute y = -3 back into the equation x = y + 10 to solve for x: x = -3 + 10, so x = 7. Therefore, the two lines intersect at the point (7, -3).