8x+2y=-2 y=-5x+1 solve by substitution

Question

anonymous · Answer

Thank you for helping me !

anonymous · Answer

We know what 'y' is, so all we have to do is go back to the equation: 8x + 2y = -2 and substitute. 

We get: 8x + 2(-5x + 1) = -2. As you can see, I plugged in the value for 'y' (-5x + 1) into this equation.

All we have to do now is solve! 

8x -10x + 2 = -2    ...Used distribution.
-2x + 2 = -2           ...Solving out.
-2x = -4                 ...Almost done!
x = 2                       ...Solved!!!
 
Now we take the value for x, and use this to find y. 

 y = -5x + 1, so:  y = -5(2) + 1; that means y = -9. 

^_^

anonymous · Answer

I hope I helped. If you don't understand something I did, please let me know. :)

anonymous · Answer

I understand thanks for your help!