1) -3(5x+2y=-3)⇒ -15x-6y=9
⇒ -9x=27
2(3x+3y=9)⇒ 6x+6y=18
2) -9x/-9=27/-9 ⇒ x=-3
3) 3(-3)+3y=9⇒ -9+9+3y=9+9⇒ 3y/3=18/3⇒ y=6
Answer: (-3,6)
Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. <em>Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.
</em>
Step 2) Once y is eliminated, solve for x.
Step 3) Now plug x back into one of the original equations and solve for y. <em>Note: Plug x back into one of the original equations, not the equations that were changed by multiplication,</em>
Step-by-step explanation:
State the minimum monthly income and hourly wage per worker needed to cover
monthly expenses for the family you used in part a. Then, explain how to calculate the
hourly wage based on the monthly income and state the hourly wage. Assume that
each full-time worker works four 40-hour work weeks per month, and each part-time
worker works two 40-hour weeks per month. (10 points)
1.) x = -4, and y = 1/3
2.) x = 3, and y = -1
3.) x = 3, and y = 2
4.) x = 4, and y = 0
Hope this helps! - Alyssa
