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2a. (x, y) = (2, 2)

2b. (x, y) = (3, -1)

3. -5, 3, y, 5, 1

Step-by-step explanation:

2A.

The first equation defines an expression for x, so it is convenient to use that to substitute for x in the second equation.

2(3y-4) -y = 2 . . . . . substitute for x

6y -8 -y = 2 . . . . . . eliminate parentheses

5y = 10 . . . . . . . . . add 8, collect terms

y = 2 . . . . . . . . . . divide by 5

x = 3(2) -4 = 2 . . . find x using the first equation

The solution is (x, y) = (2, 2).

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2B.

Add 3 times the second equation to the first.

(3x +2y) +3(-x +y) = (7) +3(-4)

5y = -5 . . . . . simplify

y = -1 . . . . . . . divide by 5

x = y +4 = -1 +4 = 3 . . . . rearrange the second equation

The solution is (x, y) = (3, -1).

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3.

The slope of this equation is -5 [the x-coefficient]. I would start at +3 [the y-intercept] on the y axis and then drop down 5 and run over 1 .

[The slope is the ratio of rise to run. A slope of -5 means the "rise" is a drop of 5 for each "run" of 1 unit to the right.]

Related Questions

-7/3 x = 7 solve for x

x=  -3

Step-by-step explanation:

The question is in the pic pls help

pink

Step-by-step explanation:

An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What raw score corresponds to the 70th percentile?

82.62

Step-by-step explanation:

Mean score (μ) = 80

Standard deviation (σ) = 5

The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.

For any given score, X, the z-score can be determined by:

For z = 0.525:

A raw score of approximately 82.62 corresponds to the 70th percentile.

Answer: the raw score that corresponds to the 70th percentile is 82.625

Step-by-step explanation:

Since the population of scores in the aptitude test is normally distributed., we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = aptitude test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 80

σ = 5

We want to find the raw score that corresponds to the 70th percentile.

70th percentile = 70/100 = 0.7

Looking at the normal distribution table, the z score corresponding to 0.7 is 0.525.

Therefore,

0.525 = (x - 80)/5

5 × 0.525 = x - 80

2.625 = x - 80

x = 2.625 + 80

x = 82.625

Log8 (t) - log8 (5) = 1

t = 40

Step-by-step explanation:

Given the logarithmic expression:

Use the Logarithmic Property (Quotient Rule):

Next, using the Logarithmic Property:

We must determine the possible value oft that can be divided by 5 to produce a quotient of 8 that will make the logarithmic property, , true.  In that case, t = 40 divided by 5 results in a quotient of 8.

Therefore, the value oft = 40.

How do you do this 6-2x=10

-2x=10-6

x= -2

Step-by-step explanation: (remember the 6 in this equation is positive so you'll subtract it and the 2 is actually -2x. First, you'll subtract 6 from itself and 10, the two 6's cancel out and 10-6=4. Then, you'll divide -2 and 4 by -2, the two -2's cancel out and 4 divided by -2 is -2. Finally, you'll see that x = -2. This is all done by the order of operations also known as PEMDAS. )

6 - 2x =10

-6          -6

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

-2x = 4

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-2 = -2

x = -2

Y=3x+4. Find an equation of a line that is:parallel to the given line

y=3x+4. Find an equation of a line that is:

perpendicular to the given line