Based on the lesson which of the following would be the best approach for solving this system by substitution? 5x=y+6 2x-3y=4 Solve the first equation for x. Solve the first equation for y. Solve the second equation for x. Solve the second equation for y.

To solve the system of equations by substitution, we need to isolate one variable in one of the equations and then substitute it into the other equation.<br /><br />Given the system of equations:<br />$5x = y + 6$<br />$2x - 3y = 4$<br /><br />The best approach for solving this system by substitution would be to solve the first equation for $y$.<br /><br />Solving the first equation for $y$:<br />$5x = y + 6$<br />$y = 5x - 6$<br /><br />Now, we can substitute this expression for $y$ into the second equation:<br />$2x - 3(5x - 6) = 4$<br />$2x - 15x + 18 = 4$<br />$-13x + 18 = 4$<br />$-13x = -14$<br />$x = \frac{14}{13}$<br /><br />Substituting the value of $x$ back into the expression for $y$:<br />$y = 5x - 6$<br />$y = 5(\frac{14}{13}) - 6$<br />$y = \frac{70}{13} - 6$<br />$y = \frac{70}{13} - \frac{78}{13}$<br />$y = -\frac{8}{13}$<br /><br />Therefore, the solution to the system of equations is $x = \frac{14}{13}$ and $y = -\frac{8}{13}$.