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3 years ago

What is the solution for the systems of equations below?

1 answer:

3 0

Use elimination
3x + 4y = -2
2x - 4y = -8
Add both equations
5x = -10, x = -2
3(-2) + 4y = -2
-6 + 4y = -2
4y = 4, y = 1
Solution: x = -2, y = 1

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Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults. The number of adult tickets sold was 195 more than the n

Maurinko [17]

Answer: number of tickets sold to adult = 566

Step-by-step explanation:

Let x = number of tickets sold by DCHS to students.

Let y = number of tickets sold DCHS to adults.

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.

This means cost of total tickets sold to students and adults is $3x and $5y respectively.

If DCHS collected $3943 for the tickets, then we have

3x + 5y = 3943 - - - - - -1

The number of adult tickets sold was 195 more than the number of student tickets. This means

y = x +195.

Put y = x +195 in equation 1

3x + 5(x+195) = 3943

3x + 5x + 975= 3943

8x +975=3943

8x = 3943-975= 2968

x = 2968/8 = 371

y = 371 + 195= 566

4 0

4 years ago

Is m=8 a solution to this equation? (m + 3m) ÷ 4 = 8

adelina 88 [10]

yes you are correct because when you plug 8 into the equation you get (8+3(8))/4

8 0

3 years ago

Answers to 5 and 6 please need help please!

Tresset [83]

My friend says 5 is 60 and 6 is b.

8 0

3 years ago

Laura brought some fish; salt water ($2 each) and fresh water ($1 each). If she has 15 fish and the total was $23 - how many of

never [62]

Answer:

8 salt water

7 fresh water

Step-by-step explanation:

Let's represent salt water fish with the variable "s" and fresh water fish with the variable "f".

We can make a system of equations - one equation for the number of fish and the other for the price of the fish.

We know that the total number of fish Laura has is 15, and the total price of the fish was $23.

s + f = 15
2s + f = 23

Solve the system of equations by subtracting the bottom equation from the top equation.

-s =-8
s = 8

Laura bought 8 salt water fish. Since the total number of fish is 15, the number of fresh water fish must be 7.

5 0

3 years ago

Read 2 more answers

Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

$\sqrt{1} =1$

$1=1$ ----> is true

Is the solution

4 0

3 years ago