The original weight plus the additional gain is 160. \ \
\\
The equation represents the situation is 155 + g = 160 \ \
According to Subtraction property of equality: if a = b, then a c = b
c.
155 + g155= 160
155 (Subtract 155 from each side).
g= 160155 (Additive inverse property:155
155= 0)
g = 5 (Subtract: 160155 = 5)
Check:
\To check the solution, substitute g = 5 in original equation.
\155 + 5 = 160
\160 = 160 (Add: 155 + 5 = 160)
\Compare the values, the equation is true. The solution is g = 5.
\Darius needs to gain 5 pounds.
\