7. Use elimination and back-substitution to solve the following system of linear equations. \( \left\{\begin{array}{c}x-y+z=13 \\ 2 x+5 y-3 z=-13 \\ 4 x-y-6 z=-4\end{array}\right. \)

Solve the equation. \( \ln (8 \mathrm{x}+15)-\ln \mathrm{x}=\ln 9 \) Select the correct choice below and, if necessary, fill in th A. The solution set is \( \{ \) B. The solution is the empty set. (Simplify your answer. Use a comma to separate a

b. \( -0.5 p+\frac{1}{2} p-2.75+\frac{2}{3} \)

1. Louls owns his own orchard. He plants 5 fruit trees for every 5 nut tiees. The equation \( f=\frac{9}{5} n \) models the relationship between the number of nut trees planted and the number of fruit trees planted. Determine the number of nut trees planted if 135 fruit trees were planted.

Write in exponential form. \[ \log _{6} 216=3 \] Write the equivalent exponential equation. \( \square \) (Type an equation. Type your answer using expc

Use the distributive property to fill in the blanks below. \( 6 \times(9-4)=(\llbracket \times 9)-(\square \times 4) \) Introduction to the distributive property