Solve the systems of equations by substitute 4x - 5y = -17, 3x + 2y = -7

Find the weighted average of a data set where 10 has a weight of 5, 30 has a weight of 3, and 50 has a weight of 2.

Fill in the bla
so the resulting statement is true.
when solving
$3x^2+2y^2=35$
$4x^2+3y^2=48$
by the addition method, we can eliminate $x^2$ by the multiplying the first equation by -4 and the second equation by __________ and then adding the equations

Katrina has a 120 dollar gift card. She paid 60 dollar for a new suitcase and wants to spend the rest on 10 dollars pairs of flip flops. What is the maximum number of pairs of flip flops she could purchase?

Including 5% sales tax, an inn charges $252 per night.
Find the inn’s nightly cost before the tax is added.

Simplify:
${\displaystyle \frac{-2+3x}{1+5x}}$
If ${\displaystyle x^2=-1}$

Solving systems of non-linear equation
Elimination method
$\{\begin{array}{l}x+y^2+3=0\\ 2x^2+y^2-4=0\end{array}$

Solve the equations and inequalities. Write the answers to the inequalities in interval notation if possible. (A) $|7x+4|+11=2$
(B) $|7x+4|+11<2$
(C) $|7x+4|+11>2$