Answer:
Your solution is (-1, 0)
Step-by-step explanation:
3x - y = -3
x + y = -1
The elimination method <em>eliminates</em> one variable at a time to find the other variable.
Here we can see that the y variable will naturally be eliminated.
3x - y = -3
x + y = -1
--------------
4x = -4
Divide both sides by 4 to isolate x.
x = -1
Now plug this value back into one of the equations.
3(-1) - y = -3
Multiply.
-3 - y = -3
Add 3 to both sides.
-y = 0
Divide both sides by -1.
y = 0
Your solution is (-1, 0)
Check this solution by plugging these values into the second equation.
-1 + 0 = -1
-1 = -1
Your solution is correct.
Hope this helps!
Answer:
1.36
Step-by-step explanation:
you would move the decimal two place values to the left starting behind the 6.
Hope that help you out. :)
Answer:
Step-by-step explanation:
The slabs are arranged in a 3×3 matrix. Each side is 3 m long. The perimeter is 4×3 = 12 meters.
Answer:
The dimensions are 50 and 100 square foot
Step-by-step explanation:
Let x = length of fenced side parallel to the side that borders the playground
y = length of each of the other two fenced sides
Then, x + 2y = 200
<=> x = 200-2y
The Area = xy = y(200-2y)
The dimensions of the playground that will minimize the homeowner's total cost for materials when the area of the playground is maximum. He can cover more area but with the same cost.
The graph of the area function is a parabola opening downward.
The maximum area occurs when y = -200/[2(-2)] = 50
=> x = 100
So the dimensions are 50 and 100 square foot
<span><span>1.
</span>A department store has a discount on shoes based
on percentage of price.
=> one pair of shoes marked down from 70 dollars to 49 dollars
=> let’s solve for the percentage rate.
=> 70 – 49 = 21, the than ½ of the price
=> 70 x 30% = 21
Thus, the percentage rate is 30%
For the pair of shoes that is 110 dollars
=> 110 * .30 = 33
=> 110 – 33 = 77
Thus, the price of pair of shoes is now 77 dollars.</span>
