Question

Solve the given system of equations. 2y=-x+9 3x-6y=-15

Answer 1

Solve by Substitution :
Solve equation [2] for the variable x

[2] 9x = 2y + 19

[2] x = 2y/9 + 19/9Plug this in for variable x in equation [1]

[1] 3•(2y/9+19/9) - 6y = -15
[1] - 16y/3 = -64/3
[1] - 16y = -64
// Solve equation [1] for the variable y


[1] 16y = 64

[1] y = 4
By now we know this much :

x = 2y/9+19/9
y = 4
Use the y value to solve for x

x = (2/9)(4)+19/9 = 3
Solution :