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stepan [7]
3 years ago
15

Solve the system of linear equations by substitution 12x+y=−4 y=2x+16

Mathematics
1 answer:
ki77a [65]3 years ago
8 0

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

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Ahmad and Kumar together can paint a house in 12 days. Kumar and Chong beng together can complete the same job in 15 days while Ahmad and Chong beng together will take 20 days to paint the same house. How many days will it take Ahmad, Kumar and Chong beng to complete the job together?



The trick (SOP) for work problems is that we reduce the work to unit rate.

Ahmad and Kumar together can paint a house in 12 days.--->Ahmad and Kumar together can paint 1/12 the house in 1 days.

A+K = 1/12 of house in a day
K+C= 1/15 of house in a day
A+C= 1/20 of house in a day

Adding all together

2(A+K+C) = 1/12+1/15/+1/20 = 1/5 in a day
A+K+C = 1/10 in a day

So they take 10 days to finish the job together.
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3 years ago
8 gardeners equally share 1/2 of a Pile needles what faction of pile does each gardener receive?
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Step-by-step explanation:

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OR

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