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3 years ago

Solve using elimination. 5x - 6y = 2 -5x - 5y = 20

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

6 0

Answer:

x = -2, y =-2

Step-by-step explanation:

5x - 6y = 2

-5x - 5y = 20

Add the two equations together to eliminate x

5x - 6y = 2

-5x - 5y = 20

------------------------

-11y = 22

Divide by -11

-11y/-11 = 22/-11

y = -2

Now we can find x

5x -6(-2) =2

5x +12 = 2

Subtract 12 from each side

5x +12-12 =2-12

5x = -10

Divide by 5

5x/5 = -10/5

x = -2

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3 years ago

Brian is solving the equation x^2 - 3/4 x = 5. What value must be added to both sides of the equations to make the left side a p

Arturiano [62]

I believe I answered your other question like this.

Just write the equation like:
x^2 - 3/4 x - 5 and follow the same process that I listed out before

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3 years ago

Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line towar

DaniilM [7]

Lauren was 10 miles away from her house when he started.

Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.

So, with t = 0, d = -2t + 10

= -2(0) + 10

= 0 + 10

= 10 miles.

So, Lauren was 10 miles away from her house when he started.

Lauren was moving at a rate of -2 mph towards her house.

To find how fast Lauren was moving towards her house, we differentiate d with respect to t.

So, dd/dt = d(-2t + 10)/dt

= d(-2t)/dt + d(10)/dt

= -2 + 0

= -2 mph

So, Lauren was moving at a rate of -2 mph towards her house.

The rate is negative because her distance towards her house is decreasing

The rate is negative because her distance towards her house is decreasing since she is moving towards her house.

Lauren is 2 miles away from her house after 4 hours

To find this, we input t = 4 into the equation for d.

So, d = -2t + 10

= -2(4) + 10

= -8 + 10

= 2 miles.

So, Lauren is 2 miles away from her house after 4 hours

Learn more about distance travelled here:

brainly.com/question/17997145

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3 years ago

Which values are solutions to the inequality below? check all that apply.

gayaneshka [121]

The answer is A and D because if you square both of them, they are less than 16. hope this helps!

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3 years ago

there are 11 members on a city council at a recent city council meeting, 4 of the council members voted in favor of a budget inc

ololo11 [35]

We have 11 members at the city council meeting, 4 voted in favour of a budget increase.

The possible groups of council members who could have voted in favour can be found using the combination formula which is used when we want to group items, in this case, we are grouping people.

Here is the formula;

Where n = Total members on the city council = 11

and r = members that voted in favour = 4

We will then solve this to be

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This implies that there are 330 possible groups of council members who could have voted in favour.

ANSWER: 330

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1 year ago