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Otrada [13]
3 years ago
11

Solve the system of equations -12x-5y=40 12x-11y=80

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

The answer is (-5/24, -7.5).

Step-by-step explanation:

There are two methods to solving a system of equations - substitution or elimination.  In this example, we can use elimination since the coefficients of 'x' are opposite signs.  To complete elmination, we simply add the equations together:

-12x - 5y = 40

<u>+ 12x - 11y = 80</u>

-16y = 120

Use inverse operations to solve for 'y' by dividing both sides by -16 to get       y = -7.5.

Next, plug in the value of 'y' into one of the equations and solve for 'x':

-12x  - (5)(-7.5) = 40 or  -12x + 37.5 = 40, now subtract 37.5 from both sides:  -12x + 37.5 - 37.5 = 40 - 37.5 or -12x = 5/2.  Lastly, divide both sides by -12 to solve for x, x = -5/24.  

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Hey there!

If we use pemdas:

P - Parentheses
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We know we have to evaluate the exponent first. Two to the rid power is equal to 8. Therefore, we have:

2 - 4/2 + 8

Next, we do the division. -4/2 = -2, so we have:

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Hope this helps!
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Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wra
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The table shows data gathered by an environmental agency about the decreasing depth of a lake during the first few months of a d
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(0,346)(2,344.8)
slope = (344.8 - 346) / (2 - 0) = -1.2 / 2 = -0.6

y = mx + b
slope(m) = -0.6
(0,346)...x = 0 and y = 346
now we sub and find b, the y int
346 = -0.6(0) + b
346 = b
so ur equation is : y = -0.6x + 346....with x being the number of weeks

after 4 weeks...
y = -0.6(4) + 346
y = - 2.4 + 346
y = 343.6 <==== after 4 weeks

after 9 weeks..
y = -0.6(9) + 346
y = -5.4 + 346
y = 340.6 <=== after 9 weeks

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