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Dahasolnce [82]
3 years ago
6

The substitution method: Solve for x in the second equation and substitute it into the first equation. The result is .

Mathematics
2 answers:
Dvinal [7]3 years ago
7 0

Answer: solve for c in a second equation and substitute: correct is 2(-3+2y) +5y= -6. 100% correct.

Step-by-step explanation:

jek_recluse [69]3 years ago
5 0

Suppose you have the following system of linear equation:


\left \{ {{(1) \ ax+by=c} \atop {(2) \ dx+ey=f}} \right.


According to the statement above, first we need to solve for x in the second equation:


dx+ey=f \\ \\ \therefore x=\frac{f-ey}{d}


Next we need to substitute x into the first equation, so:


a\left(\frac{f-ey}{d}\right)+by=c


So, the conclusion is that from this last equation the result we can get is y. Then, by substituting the value of y in the first or second equation we can get x.

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Which equation is an identity?​
kirza4 [7]

Answer:

Option (3).

Step-by-step explanation:

Option (1).

3(x - 1) = x + 2(x + 1) + 1

3x - 3 = x + 2x + 2 + 1

3x - 3 = 3x + 3 [Not True]

Therefore, this equation is not an identity.

Option (2).

x - 4(x + 1) = -3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2 [Not true]

Therefore, this equation is not an identity.

Option (3).

2x + 3 = \frac{1}{2}(4x + 2) + 2

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3 [True]

Therefore, this equation is an identity.

Option (4).

\frac{1}{2}(6x-3)=3(x+1)-x-2

3x - 1.5 = 3x + 3 - x - 2

3x - 1.5 = 2x + 1 [Not true]

Therefore, this equation is not an identity.

6 0
3 years ago
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What is latus rectum?
anyanavicka [17]
Latus rectum is the line segment that passes through the focus, is perpendicular to the axis, and has both endpoints on the curve.
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8 0
3 years ago
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What is (14,-8)and (7,-6) slope?
bonufazy [111]

Answer:

2/-7

Step-by-step explanation:

Formula for slope given two points is attached.

1) Plug the points into the slope formula:

(-6+8)/(7-14)

2) Simplify:

2/-7

8 0
3 years ago
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A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to near
Vedmedyk [2.9K]

Answer:

36 °

Step-by-step explanation:

In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.

Tan A ° = opposite / adjacent

replacing:

Tan A ° = 50/68

Tan A ° = 0.735

A ° = arc tan (0.735)

A ° = 36.32

Which means that the angle of inclination is 36°

4 0
3 years ago
Select the equation written in slope-intercept form that corresponds to the given slope and y-intercept. The linear equation whe
ehidna [41]

Answer:

Step-by-step explanation:

hello :

y=mx+b

The linear equation when m = –6 and b = 1  is : y=-6x+1

The linear equation when m = 6 and b = -2  is : y=6x-2

The linear equation when m = 1 and b = 6  is : y=x+6

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