Answer: You can multiply the top equation by -1 to eliminate the x variable.
And the solution is (2,4/3) in case you need it.
Step-by-step explanation:
2x + 3y = 8
2x + 6y = 12
If you multiply the upper equation or down equation by one, you will be able to eliminate the x variable.
-1( 2x + 3y) = -1(8) New equation: -2x -3y = -8.
Add the new equation you got by multiplying the top equation by -1 to the bottom equation.
Add them: -2x -3y = -8
2x + 6y = 12
3y = 4
y = 4/3
You can now input the value for y into the one of the equations and solve for x.
-2x - 3(4/3) = -8
-2x -4 = -8
+4 +4
-2x = -4
x = 2
Yes because without a y-intercept it goes through 0. and can you explain the next part?
If you let x = 13:
Then, Area = 2(13)^2 - 5(13)
= 338 - 65
= 273 sq ft
If you let 2x-5 = 13:
2x = 18
x = 6
Then, Area = 2(6)^2 - 5(6)
= 72 - 30
= 42 sq ft
Therefore, your options are A or C. Your answer can be chosen based on what you assume the width to be. Good luck!
8x+12y=120
8 packs -> x value
12 packs -> y value
-------------------------------
total amt. of beverages is 120