The solution for the given equation -4x+9y=9 and x+3y=-6 is x= -27 and y = 7
Step-by-step explanation:
- step 1 : [tex]x_{1}[/tex] = -4x+9y = 9 , [tex]x_{2}[/tex] = x+3y = -6
- step 2 : For solving in the substitution method we have to multiply the equation [tex]x_{2}[/tex] with 3 so we get [tex]x_{2}[/tex] = 3x+9y = -18
- step 3 : On solving the equations we get x = -27
[tex]x_{1}[/tex] = -4x+9y = 9
3[tex]x_{2}[/tex] = 3x+9y = -18 ( we have to change the sign for cancelling the y term)
1x + 0 = 27
- step 4 : By substituting the x value in any of the equation we get the y value thus y = 7.
- step 5 : Thus the value of x and y is -27 and 7
