Question

Use the substitution method to solve the system 2x + 3y = 4, -4x - 6y =- 8. (1 point)

O (-1,2)

O no solution

(2-1)

infinite solutions

Answer 1

Infinite solutions.

Using substitution: from 2x + 3y = 4, x = 2 - (3/2)y. Substitute into -4x - 6y = -8:
-4(2 - (3/2)y) - 6y = -8 → -8 + 6y - 6y = -8 → -8 = -8 (identity),
so the equations are dependent. General solution: letting y = t, x = 2 - (3/2)t (for any real t).