Answer: (x,y) = (6,-3)
This means 6 goes in the first blank and -3 goes in the second blank.
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Explanation:
Solve the second equation for x
x+8y = -18
x = -18-8y
We'll plug that into the first equation and isolate y. This is where substitution comes in.
5x + 7y = 9
5( x ) + 7y = 9
5( -18-8y ) + 7y = 9 ... replace x with -18-8y
-90-40y + 7y = 9
-90-33y = 9
-33y = 9+90
-33y = 99
y = 99/(-33)
y = -3
Use this y value to find x
x = -18-8y
x = -18-8(-3)
x = -18+24
x = 6
The solution is (x,y) = (6,-3)
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Checking the answer:
Let's check the first equation
5x+7y = 9
5(6)+7(-3) = 9 ... plug in (x,y) = (6,-3)
30-21 = 9
9 = 9 .... true equation
Do the same for the second equation as well
x+8y = -18
6 + 8(-3) = -18
6 - 24 = -18
-18 = -18 .... also true
Both equations are true when we plug in (x,y) = (6,-3), so the solution is confirmed.
Answer:
Net Profit after tax Rs 15,000
Step-by-step explanation:
The computation of the net profit after tax is shown below:
Gross profit Rs. 1,25,000
Less:
Selling and distribution expenses Rs. 21,000
General and administrative expenses Rs. 75,000
Interest on loan Rs. 5,000
Gain on sale of plant Rs. 4,000
Profit before tax Rs 20,000
Less: income tax expense at 25% of Rs 20,000 Rs 5000
Net Profit after tax Rs 15,000
Answer:
b
Step-by-step explanation:
they both make the same amount of miles per gallon
x^2 = 16/100
We must solve for x by taking the square root of both sides.
But imagine x^2 = 9. x = 3 is a solution because 3^2 = 9. But x = -3 is also a solution because (-3)^2 = 9. So we need to add the plus and minus sign to account for all of our solutions.
√x^2 = √(16/100)
We square root both sides to remove the exponent 2 on x. Then
x = ±√(16/100)
Then we have to use a Property of Radicals which is √(x/y) = √(x) / √(y).
Then the square root of 16 is 4 and the square root of 100 is 10. 4/10 is 2/5 simplified.