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3 years ago

(2x + 7y = -2418x+y=12 solve by substitution

Mathematics

1 answer:

const2013 [10]3 years ago

4 0

Answer:

x = .87, or when approximated to a fraction, 27/31

y = -3.67, or when approximated to a fraction, -1287/350

Step-by-step explanation:

Lets start by rewriting out our equations

2x + 7y = -24

18x + y = 12

Lets solve for a y value; the second equation is easiest, as the y value has no coefficient (the number that is multiplied times a variable). To do this, lets move the 18x to the other side. Now our two equations look like:

2x + 7y = -24

y = -18x + 12

Next, lets plus the second equation into the first equation in regards to y.

2x + 7(-18x + 12) = -24

Now, lets solve!

2x -126x + 84 = -24

Then, combine your terms!

-124x = -108

Divide by (-124)!

x = -108/-124

x = 27/31

Now that we know x, lets plug this back in to the first equation to find y!

2(27/31) + 7y = -24

1.74 + 7y = -24

7y = -25.74

y = -3.67, or when approximated to a fraction, -1287/350

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A boat is heading towards a lighthouse, whose beacon-light is 139 feet above the

Novay_Z [31]

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1 year ago

Solve for k<br> k - 2/ 5 = 11j

Vikki [24]

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8 0

3 years ago

Read 2 more answers

Explain the reasoning please

Svet_ta [14]

Step-by-step explanation:

Something to keep in mind is that anything greater than 0 is positive and anything less than 0 is negative

a is to the right of 0 and 1 making it a positive number

b is to the left of 0 making is a negative number

A. a is greater than 1 and b is a negative number

negative number * positive number = negative number

We already know that a is greater than 1 so ab has to be much less than -1 making ab+1 a negative expression

B. Looking at the number line, you can tell that the distance between 1 and a is a bit less than the distance between 0 and 1

This means that a= 1.x not 2

Because of this, a-2 is negative

C. -b

b is a negative number which means that -b would be positive

D. a+b

Looking at the number line, you can tell that the distance between 0 and a is less than the distance between 0 and b

Therefore, a+b is negative

E. a-b

Since b is already negative, the expression would simplify to two positive numbers being added

This means that a-b can't be negative

F. a-1

The number line shows us that a is greater than 1, therefore, a minus 1 would be positive

I hope this helps in some way or another

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3 years ago

Read 2 more answers

7. The ratio of wins to losses for Loyola basketball was 4 to 1. If the team played 30 games, how

RoseWind [281]

Answer:

24:6

Step-by-step explanation:

It is 4 to 1. The ratios added up is 5. So 30 divided by 5 is 6. So 1 (the ratio) is 6 games. 4x6=24. So the new ratio is 24 to 6. 24 wins and 6 losses.

4 0

2 years ago

(2x + 7y = -2418x+y=12 solve by substitution​

(2x + 7y = -2418x+y=12 solve by substitution