Question

4. Use the substitution method to determine the solution to this system of equations.

6x – 3y = -9
-2x+y=5

A. (-9,5)
B. (5,-9)
C. no solution
D. infinite number of solutions

Answer 1

No solution

Explanation:

6X - 3Y = -9--------------(1)

- 2 X +Y= 5---------------(2)

from equation two,

Y = 5+2X------------------(3)

substitute equation (3) into equation (1)

6X-3(5+2X)= -9

opening bracket

6X-15-6X= -9

6X- 6X = -9+15

0 = 6

therefore the answer is no solution