Question

Determine whether the following system of equations has one solution, no solution, or an infinite number of solutions. Explain your reasoning.

2x - 4y = 10
7x - 9y = 12

Answer 1

A) 2x - 4y = 10
B) 7x - 9y = 12
Multiplying equation A by -3.5
A) -7x +14y = -35 then adding B
B) 7x - 9y = 12
5y = -23
y = -4.6

2x -4*-4.6 = 10
2x + 18.4 = 10
2x = -8.4
x = -4.2
It has one solution (-4.2, -4.6)