Use the ideas of additive and multiplicative inverses to solve the following equation:
–7y + 12 = –2
–7y + 12 = –2
-7y + 12 - 12 = -2 + (-12)
-7y = -14
y = 2
Thank you Ms. Sue, for helping me with my problem.
You're very welcome, Tasa.
To solve the equation –7y + 12 = –2 using the ideas of additive and multiplicative inverses, we need to isolate the variable y.
Step 1: Remove the constant on the left side of the equation by adding the additive inverse of 12 to both sides:
–7y + 12 - 12 = –2 - 12
–7y = –14
Step 2: To isolate y, we'll divide both sides of the equation by the multiplicative inverse of –7, which is –1/7:
(–7y)/–7 = (–14)/–7
y = 2
So, the solution to the equation –7y + 12 = –2 is y = 2.