C is the best answer because it can’t be d
Solution to the system of linear equations is (5/3, -14/3)
Step-by-step explanation:
- Step 1: The system of linear equations are
8x + 2y = 4 ------ (1)
16x - y = 18 ------ (2)
- Step 2: Multiply eq(2) by 2 to make coefficients of y equal
8x + 2y = 4
16x - 2y = 36
- Step 3: Add the two equations
⇒ 24x = 40
⇒ x = 40/24 = 5/3
- Step 4: Find the value of y
⇒ 8 × 5/3 + 2y = 4
⇒ 40/3 + 2y = 4
⇒ 2y = 4 - 40/3 = -28/3
⇒ y = -14/3
The area of a trapezoid is found by averaging the bases and multiplying the height. to average the bases, you take 22ft + 14ft to get 36ft and then divide it by 2 since there are 2 numbers to average to get 18ft. Then you just multiply that by 8ft to get your area of 144ft^2 (square feet).
The weight of each pile yesterday will be 6 and 8 pounds.
<h3>What is the unitary method?</h3>
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is Given that Yesterday the ratio of seeds in these piles was 3:4.
Let 3x and 4x represent the seeds.
If the 2 pounds of seeds are added in the bigger pile, then
4x + 2
He also ate 1/4 pound from the smaller pile,
3x - 1/4
The quantities of seeds in those piles is in the ratio of 5:16.
So, 4x + 2 = 5x
3x - 1/4 = 16x
Solve;
So, 4x + 2 = 5x
2 = 5x - 4x
x = 2
The weight of each pie will be
3x = 6 pound
4x = 8 pound
Hence, The weight of each pile yesterday would be 6 and 8 pounds.
Learn more about the unitary method;
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Answer:
The equation should be written like this
18 + 30 = 3(6 + 10)
Step-by-step explanation:
The 3 and 6 should be swapped.