Question

this assignment fills in the gaps on several important types of questions that are not covered in knewton. be thoroughly covered the notes before attempting this assignment. you will only get 1 attempt on this and each homework assignments that are directly in canvas.
question 4
solve the equation below for the variable ( t ).
( 7t + 3a = 4t - 5y )
options:
( t = \frac{-3a - 5y}{11} )
( t = -3a + \frac{5}{3}y )
( t = \frac{-3a - 5y}{3} )
( t = -a - 5y )
( t = \frac{3a - 5y}{11} )

Explanation:

Step1: Subtract \(4t\) from both sides

To isolate terms with \(t\), we subtract \(4t\) from each side of the equation \(7t + 3a = 4t - 5y\). This gives \(7t - 4t + 3a = 4t - 4t - 5y\), which simplifies to \(3t + 3a = -5y\).

Step2: Subtract \(3a\) from both sides

Next, we subtract \(3a\) from both sides to get \(3t + 3a - 3a = -5y - 3a\), so \(3t = -3a - 5y\).

Step3: Divide by 3

Finally, we divide both sides by 3 to solve for \(t\). So \(t=\frac{-3a - 5y}{3}\).

Answer:

\(t = \boldsymbol{\frac{-3a - 5y}{3}}\) (corresponding to the option \(t=\frac{-3a - 5y}{3}\))