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3 years ago

How many solutions does the system have? 3x + y = 8 2 + 2y = 8

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer:

x=2,y=2

Step-by-step explanation:

This question is a simultaneous equation

So let's solve

3x+y=8...(1)

2x+2y=8....(2)

Multiply (1) by 2

6x+2y=16...(3)

Substrate (2) From (3)

4x=8

Let's make x the subject of formula by dividing both sides by 4

x=2

So let's substitute the value of x into (1)

3x+y=8

3(2)+y=8

6+y=8

y=8-6

y=2

Therefore x is 2,y is 2

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4 years ago

Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. She spent a total of $1

olchik [2.2K]

Answer:

The Total number of adults ticket's is 15

The Total number of Senior citizen ticket's is 5

Step-by-step explanation:

Given as :

The total number of movies tickets were bought = 20

The cost of adults tickets = $ 8.00

The cost of senior citizen tickets = $ 4.00

The total money spent on movie tickets = $ 140

Let The total number of adults tickets = A

And The total number of senior citizen tickets = S

Now, According to question

The total number of movies tickets were bought = 20

I.e The total number of adults tickets + The total number of senior citizen tickets = 20

Or, A + S = 20

And $ 8 A + $ 4 S = $ 140 .........1

I.e 8 × ( A + S ) = 8 × 20

Or, 8 A + 8 S = 160 .......2

Solving the equation 1 and 2

Or, ( 8 A + 8 S ) - ( 8 A + 4 S ) = 160 - 140

Or, ( 8 A - 8 A ) + ( 8 S - 4 S ) = 20

or, 0 + 4 S = 20

∴ S = $\frac{20}{4}$

I.e S = 5

So, The number of Senior citizen ticket's = 5

Put The value of S in eq 1

So, 8 A + 4 × 5 = 140

Or, 8 A = 140 - 20

Or, 8 A = 120

∴ A = $\frac{120}{8}$

I.e A = 15

So, The number of adult's tickets = 15

Hence The Total number of adults ticket's is 15

And The Total number of Senior citizen ticket's is 5 Answer

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3 years ago