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lapo4ka [179]
3 years ago
7

Solve the given system by the substitution method. 3x + y = 14 7x - 4y = 20​

Mathematics
2 answers:
Eva8 [605]3 years ago
8 0

Answer:

(4, 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 14 → (1)

7x - 4y = 20 → (2)

Rearrange (1) making y the subject by subtracting 3x from both sides

y = 14 - 3x → (3)

Substitute y = 14 - 3x into (2)

7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side

7x - 56 + 12x = 20

19x - 56 = 20 ( add 56 to both sides )

19x = 76 ( divide both sides by 19 )

x = 4

Substitute x = 4 into (3) for corresponding value of y

y = 14 - 3(4) = 14 - 12 = 2

solution is (4, 2 )

Alex_Xolod [135]3 years ago
4 0

Answer:

3x + y = 14 \\ y = 14 - 3x \\ substitute  \: y \: into \: equation \: 2\\  7x - 4(14 - 3x) = 20 \\ 7x - 56 + 12x = 20 \\ 19x = 76 \\ x =  \frac{76}{19}   =4 \\ y = 14 - 3( 4 )  = 2 \\

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Pls help I’ll give brainliest
MrMuchimi

Answer:

A. 4 + 4.5 + 3.5 + 3m = 30

Explanation:

Josies's goal = 30 miles each week

She already ran 3 days of the week which leaves us 4 more days

7 - 3 = 4

She said she wanted to have a day off to rest

4 - 1 = 3

which brings us to 3 days left to finish her goal

3m (where 'm' is the miles she'll be running each day)

5 0
3 years ago
Please help, I'm running out of points.
aksik [14]

Answer:

  −5 < x < 10

Step-by-step explanation:

Add 1 to each part of the three parts of the inequality:

  -6 +1 < x - 1 +1 < 9 +1

  -5 < x < 10 . . . . . simplify

_____

The only place where there's an x is in the middle section. The only operation performed on x is subtraction of 1. To undo that subtraction, you add 1, but you must add 1 to all sides of the comparison symbols in order to keep them true.

Such a compound inequality is the same as the two inequalities:

  • -6 < x-1
  • x-1 < 9

Solving either one of these is done by adding 1 to both sides of the < symbol:

  • -5 < x
  • x < 10

You can put these back together in the form of the compound inequality ...

 -5 < x < 10

3 0
3 years ago
What’s the answer???
vampirchik [111]

Answer:

It does not represent a function because a vertical line will cross the graph at more than one point.

Step-by-step explanation:

The answer is self-explanatory.

A function maps a value of x to <em>only one</em> value of y. This graph shows two (2) values of y for most values of x in the domain of the relation.

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Find the amount accumulated after investing a principle P for T years at an interest rate compounded annually.
kogti [31]
A=3,200×(1+0.08)^(4)
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3 years ago
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marysya [2.9K]

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121

Step-by-step explanation:

360-110-36-93=121

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