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Andreas93 [3]
3 years ago
10

Someone please urgently help me with these two short worded questions! Thanks so much

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

Answer:

6. 7x + 3 = 3x; x = -3/4

7. x - 5 = 3x - 9; x = 2

Step-by-step explanation:

6. 7x + 3 = 3x

Subtract 3x from both sides.

7x + 3 - 3x = 3x - 3x

4x + 3 = 0

Subtract 3 from both sides.

4x + 3 - 3 = 0 - 3

4x = -3

Divide both sides by 4.

x = -3/4

7. x - 5 = 3x - 9

Subtract x from both sides.

x - 5 - x = 3x - 9 - x

-5 = 2x - 9

Add 9 to both sides.

-5 + 9 = 2x - 9 + 9

4 = 2x

Divide both sides by 2.

4/2 = (2/2) x

2 = x

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Solve the system of equations. 5x y = 9 3x 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)
kobusy [5.1K]

The solution of the system of equations that is given is (2,-1).

Given a system of equations are 5x+y=9 and 3x+2y=4.

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.  A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

The given equations are

5x+y=9    ......(1)

3x+2y=4  ......(2)

Here, the substitution method is used to solve the system of equations.

Find the value of y from equation (1) by subtracting 5x from both sides.

5x+y-5x=9-5x

y=9-5x

To find the value of x substitute the value of y in equation (2).

3x+2(9-5x)=4

Apply the distributive property a(b+c)=ab+ac as

3x+2×9-2×5x=4

3x+18-10x=4

Combine the like terms on the left side as

-7x+18=4

Subtract 18 from both sides and get

-7x+18-18=4-18

-7x=-14

Divide both sides by -7 and get

(-7x)÷(-7)=(-14)÷(-7)

x=2

Substitute the value of x in equation (1) and get

5(2)+y=9

10+y=9

Subtract 10 from both sides

10+y-10=9-10

y=-1

Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).

Learn more about system of equations from here brainly.com/question/13729904

#SPJ4

6 0
2 years ago
Yellow cab taxi charges $3.00 flat rate and $0.65 per mile. If Katie has no more than $10 to spend. How many miles can she trave
Alekssandra [29.7K]

Answer:

0.65+0.65=1.30+0.65=1.95+0.65=2.60

Step-by-step explanation:

well katie if katie wants to spend 3.00 she would have to do add it 4 times and it will be 2.60 and she would save 0.40 cents but if she adds it again it would be 3.25.

6 0
3 years ago
What do you add to 2 3/8 to make 6
scoundrel [369]
29 because first u add 5 then 8 3 times.
7 0
3 years ago
8/3 = 3 (c + 5/3) how to solve step by step
Ludmilka [50]

Answer:

Step-by-step explanation:

8/3=3(c+5/3)

multiply both sides by 3

8=9(c+5/3)

divide both sides by 9

8/9=c+5/3

subtract 5/3 from both sides

c=8/9-5/3

change 5/3 to 15/9

c=8/9-15/9

c=-7/9

7 0
3 years ago
1) Apples cost $16 for an 8 pound bag at the local price
bija089 [108]

Answer:

4 pounds with a membership

29 pounds without

i just added both because i didnt know if you meant 58 extra dollars after bbuying membership or not

Step-by-step explanation:

58 -50(membership fee)=8

16 divide by 8=2

16$=8 pounds

8$=4 pounds

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

without membership you could buy 29 pounds of apples

58 divide by 16=3.625

3.625 x 8=29

3 0
1 year ago
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