Solve the given system of equations

2y=-x+9

3x-6y=-15

Answer: x = 2, y = 3.5

Step-by-step explanation:

Given:

2y = - x + 9 ... equation 1

3x - 6y = - 15 ... equation 2

Solving the system of linear equations by substitution method, we will make x the subject of the formula from equation 1, that is

2y = - x + 9

x = 9 - 2y ... equation 3

Substitute x = 9 - 2y into equation 2, equation 2 then becomes:

3 (9 - 2y) - 6y = - 15

27 - 6y - 6y = - 15

27 - 12y = - 15

27 + 15 = 12y

42 = 12y

y = 3.5

substitute y = 3.5 into equation 3 to get the value of x,

x = 9 - 2y

x = 9 - 2 (3.5)

x = 9 - 7

x = 2

Therefore:

x = 2, y = 3.5