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Leto [7]
3 years ago
10

Use the substitution method to solve the system of equations. y=7x +8 y=x +20​

Mathematics
1 answer:
DanielleElmas [232]3 years ago
3 0

Answer:

<h2>x = 2, y = 22 → (2, 22)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=7x+8&(1)\\y=x+20&(2)\end{array}\right\qquad\text{substitute (1) to (2):}\\\\7x+8=x+20\qquad\text{subtract 8 from both sides}\\7x=x+12\qquad\text{subtract x from both sides}\\6x=12\qquad\text{divide both sides by 6}\\x=2\\\\\text{put the value of x to (2):}\\\\y=2+22\\y=22

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Solve for the unknown variable: -8m - 9 = 39
Lemur [1.5K]

Answer:

m =-6

Step-by-step explanation:

To solve for the unknown variable, m, we have to get m by itself. Perform the opposite of what is being done to the equation.

-8m-9=39

9 is being subtracted from-8m, so add 9 to both sides. Addition is the opposite of subtraction.

-8m-9+9=39+9

-8m=39+9

-8m=48

-8 and m are being multiplied. Divide both sides by -8, because division is the opposite of multiplication

-8m/-8=48/-8

m=48/-8

m= -6

6 0
3 years ago
Read 2 more answers
Ten friends want to play a game. They must be divided into three teams with three people in each team and one field judge. In ho
sertanlavr [38]

Answer:

It is the number of ways you can arrange the letters AAABBBCCCF, indicating that three players are on team A, three on team B, and three on team C, with one the field judge F.

Each different arrangement represents one of the ways you can form three teams of 3 with a field judge.

That number of arrangments, and therefore the number of ways to divide the players as required, is

6 0
3 years ago
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a piece of string is 3 yards long. How many 1 and a quarter yard long pieces can Julie cut from the string?
Georgia [21]
This question is actually a lot simpler than it seems

for a quarter think about money - a quarter is 25 cents or 1/4 of a dollar - so 1 and a quarter yard in decimal form is equivalent to 1.25

now you need to find how many 1 and a quarter yards are in 3 yards - to do this you simply divide 3 by 1.25

3/1.25 = 2.4

so julie can cut 2.4 1 and a quarter long pieces from the string

if you have any questions about how i answered this question please let me know:)
3 0
3 years ago
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How do I solve this using the system of equations?
Westkost [7]

Answer:

length: 16 m; width: 13 m

Step-by-step explanation:

Write each of the statements as an equation. You know that the formula for the perimeter is ...

P = 2(L +W)

so one of your equations is this one with the value of P filled in:

• 2L + 2W = 58

The other equation expresses the relation between L and W:

• L = W +3 . . . . . . . . the length is 3 meters greater than the width

There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...

2(W+3) +2W = 58

4W +6 = 58 . . . . . . . simplify

4W = 52 . . . . . . . . . . subtract 6

W = 13 . . . . . . . . . . . .divide by 4

We can use the expression for L to find its value:

L = 13 +3 = 16

The length is 16 meters; the width is 13 meters.

6 0
3 years ago
HELP ME PLS!!!
atroni [7]

Answer:

A. This conclusion was drawn using the law of detachment

Step-by-step explanation:

Definition:

Law of Detachment

If p equals q and p is also true. Then q is true.

if a number is a whole number, then it is an integer.

3 is a whole number (true statement) , so it 3 is an integer. (must be true)

8 0
3 years ago
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