Explain how you would create opposite terms for the x-variable in this system.
3x - 6y = -8

-1/3x+ 4y = 6

Answers

Answer 1

Answer:

Answer:

Sample Response: To create opposite terms for the x-variable, you need to multiply the second equation by a number that will result in the x term becoming –3x. That number would need to be a multiple of the denominator, which is 3. Multiplying the second equation by 9 would create opposite terms for the x-variable.

Step-by-step explanation:

Answer 2

Answer:

Answer:

Your answer would be, You can use the Elimination Method, by Multiplying, One or Both Equations by a Constant.

Solve System of Linear Equation:

3x - 6y = -8, -1/4x + 4y = 6 ====> y = 32 /21; x = 8 / 21

Steps:

[ 3x - 6y = -8, -1 / 4x + 4y = 6 ]

Isolate x for 3x - 6y = -8: x = -8 + 6y / 3

3x - 6y = -8

Add 6y both sides:

3x - 6y + 6y = -8 + 6y

Simplify:

3x = - 8 + 6y

Divide Both sides by 3:

3x / x = -8 / 3 + 6y / 3

Simplify:

x = -8 + 6y / 3

Substitute:

x = -8 + 6y / 3

[ 1 / 4 * -8 + 6y / 3 + 4y = 6 ]

Isolate:

-1 / 4 -8 + 6y / 3 + 4y = 6

y = 32 / 21

For x = -8 + 6y / 3

Substitute:

y = 32 / 21

x = -8 + 6 / 3 * 32 / 21

-8 + 6 / 3 * 32 / 21

x = 8 / 21

The Solution to the Systems of Equations are: y = 32 / 21; x = 8 / 21

Hope that helps!!! : )

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In three math tests, you have scored 91,95 and 88 points. You are about to take your next test. Suppose you want to have an average score of at least 90 points after all four tests. Explain a method you could use to find the score you must receive in order to average at least 90 points. The find the least score.

Answers

first you add up all the numbers then divide them by 3 then you get your answer:
91+95=186 186+88=274
274÷3=91.333333333and so on
next you add 90 to 27540
274+90=364
and since there are 4 tests you divide 364 by 4
364÷4=91
Answer-91

Answer:

You have to add up all the numbers then divide them by 3 and you will get your answer:

91+95=186 186+88=274

274÷3=91.333333333 etc.

then you add 90 to 27540

274+90=364

and because there are 4 tests you divide 364 by 4

364÷4=91

Your Answer-91

sorry answer is late!

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Answers

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b. $26.40
c. $69.30
d. $115.50

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Answers

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Answers

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