Answer:
The solution to the system is (2, 7/2).
Step-by-step explanation:
The equations are given to be : 2y = -x + 9
⇒ x = -2y + 9 .............(1)
Also, The second equation is : 3x - 6y = -15
Putting value of x from (1) in above equation
⇒ 3 × (-2y + 9) - 6y = -15
⇒ -6y + 27 - 6y = -15
⇒ -12y = -42
[tex]\bf\implies y = \frac{7}{2}[/tex]
Also, x = -7 + 9
⇒ x = 2
Hence, The solution to the system is (2, 7/2).
