Question

solve the following equation and check your answer - 13(y-4)-3(y-9)=5(y+4)​

Answer 1

Step-by-step explanation:

$13(y - 4) - 3(y - 9) = 5(y + 4) \\ 13y - 52 - 3y + 27 = 5y + 20 \\ 13y - 3y - 5y = 20 + 52 - 27 \\ 5y = 45 \\ y = \frac{45}{5} \\ y = 9$

$now \: check \: answer \: \\ 13(y - 4) - 3(y - 9) = 5(y + 4) \\ 13(9 - 4) - 3(9 - 9) = 5(9 + 4) \\ 13 \times 5 - 3 \times 0 = 5 \times 13 \\ 65 - 0 = 65 \\ 65 = 65 \\ lhs = rhs$