Answer:
A. 5 + 2.75 · S ≤ 21
Step-by-step explanation:
So we know that it has to be less than or equal to $21 because that's all she has to spend. So we can automatically rule out the equations with ≥ because that means greater than.
We can also rule out the equations that have 50 at the very end because that's just how far she wants to travel.
Answer:
(5,-5)
Step-by-step explanation:
<u>Eliminate</u><u> </u><u>y-term</u>
We can eliminate x-term but for this system of equations, eliminating y-term is faster.
<u>Substitute</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>in</u><u> </u><u>any</u><u> </u><u>given</u><u> </u><u>equations</u><u>.</u>
I will choose to substitute in the first equation.
<u>Answer</u><u> </u><u>Check</u>
Substitute both x-value and y-value in any given equations
The equation is true. (<em>It</em><em> </em><em>is</em><em> </em><em>better</em><em> </em><em>to</em><em> </em><em>check</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>for</em><em> </em><em>both</em><em> </em>equation.)
Thus the answer is (5,-5)
So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
+12=12
-6x=24
Then divide 24 by -6
X=4
(-4,-6) is your final answer.
Answer:
s=5 1/4
Step-by-step explanation:
Have a wonderful day