MATHEMATICS HIGH SCHOOL

Question 1. In the below system, solve for y in the first equation. x + 3y = 6
2x − y = 10

one thirdx + 2
negative one thirdx + 6
−x + 2
negative one thirdx + 2

Question 2. What is the value of y in the solution to the following system of equations?

5x − 3y = −3
2x − 6y = −6

−1
0
1
2

Question 3. Solve 7x − 2y = −3
14x + y = 14

(4, five sevenths)
(4, seven fifths)
(five sevenths, 4)
(seven fifths, 4)

Question 4. Solve x + 3y = 9
3x − 3y = −13

(−1, ten thirds)
(1, negative ten thirds)
(−1, 3 over 10)
(1, negative 3 over 10)

Question 5. Use the substitution method to solve the following system of equations:

4x − y = 3
7x − 9y = −2

(1, 1)
(6, −3)
(6, 1)
(1, −3)

Question 6. Solve 5x − 6y = −38
3x + 4y = 0

(4, 3)
(−4, 3)
(4, −3)
(−4, −3)

Question 7. Solve 2x + 5y = −13
3x − 4y = −8

(4, 1)
(−4, 1)
(4, −1)
(−4, −1)

Answers

Answer 1

Answer:

Answer for Question (1):

The system of equations: x+3y=6

2x-y=10

Solve the first equation x+3y=6 for y:

Subtracting x on both sides,

x+3y-x=6-x

3y=6-x

Now dividing 3 on both sides, we get

y=2-x/3 = negative one third x + 2

Thus y= negative one third of x +2

Answer for question (2):

The system of equation :

5x-3y=-3 --> (1)

2x-6y=-6 -->(2)

Multiply equation (1) by 2, we get 10x-6y=6.

Subtracting (1) by (2), we get 8x=0 implies x=0.

Plug in x=0 in equation (1), 0-3y=-3

Dividing -3 on both sides,

y=-3/-3=1

So the solution of y is 1.

Answer for Question (3):

System of equation:

7x-2y=-3 (1)

14x+y=14 (2)

Multiply (2) by 2,

28x+2y=28 (3)

Adding (1) and (3), we get 35x=25

Now dividing 35 on both sides, x=25/35=5/7.

Plug in x=5/7 in equation (1), we get 5-2y=-3

-2y=-3-5

-2y=-8

Dividing -2 on both sides,

y=4

Thus the solution of this system of equation as (5/7,4).

Answer for question (4):

x + 3y = 9 ---> (1)

3x − 3y = −13 ---> (2)

Adding equation (1) and (2), we get

4x=-4

Dividing 4 on both sides,

x=-1

Plug in x=-1 in equation (1), we get

-1+3y=9

Adding 1 on both sides,

3y=9+1=10

Now dividing 3 on both sides,

y=10/3.

so the solution is (-1,10/3).

Answer for question (5):

System of equation is 4x − y = 3 (1)

7x − 9y = −2 (2)

consider the first equation 4x-y=3

Adding y on both sides, 4x=3+y

subtracting 3 on both sides, we get y=4x-3

Substitute y=4x-3 in equation (2),

7x-9(4x-3)=-2

7x-36x+27=-2

Combine the like terms,

-29x+27=2

Adding 27 on both sides,

-29x=-29

dividing -29 on both sides,

x=1

Plug in x=1 in y=4x-3,

y=4(1)-3=1

Then the solution is (1,1).

Answer 2

Answer:

Answer:

What is the solution to the system of equations?

6 x + 2 y = 6. 7 x + 3 y = 5.

(Negative 3, 2)

(Negative 1, 6)

(2, Negative 3)

(6, Negative 1)

Step-by-step explanation:

What is the solution to the system of equations?

6 x + 2 y = 6. 7 x + 3 y = 5.

(Negative 3, 2)

(Negative 1, 6)

(2, Negative 3)

(6, Negative 1)

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Solve the following equation: (y - 2) - (y + 1) = (y - 3) - 2

Answers

We can rewrite the equation without the brackets:
y - 2 - y - 1 = y - 3 - 2

Now let’s make both sides simpler:
-3 = y - 5

Let’s leave y on the right side and move 5 to the left:
-3 + 5 = y

So the result is:
y = 2

Answer:

y = 2

Step-by-step explanation:

Charlie measured the circle-shaped part of a sun his sister drew on the chalkboard. The circumference of the circle is 75.36 cm. What is the diameter? (Use 3.14 for .)

Answers

Answer:

The diameter of circle is 24 cm.

Step-by-step explanation:

We are given the following in the question:

Circumference of circle = 75.36 cm

We have to find the diameter of the circle.

Circumference of circle =

$C =2\pi r$

where r is the radius of the circle.

Putting values, we get,

$75.36 = 2* 3.14* r\n\nr = (75.36)/(2* 3.14)\n\nr=12$

Diameter of circle =

$d=2r\nd=2* 12=24\text{ cm}$

Thus, the diameter of circle is 24 cm.

Describe how to determine the solution of a system of two linear equations by graphing.WEEELPP

Answers

Using the graphing you graph the two equations and then find the point where the two lines of the equation meet.

Hope this helps :)

1). Draw the graph of one equation.

2). On the same graph, draw the graph of the other equation.

3). If the two lines cross, the x and y at the point where they cross are the solution to the system of two equations.

4). If the two lines don't cross, then the system has no solution.

5). If they are the same line, then the two equations are the same equation, and every point on the line is a solution to it.

• Buyers are charged a shipping fee of $4.75 for each scarf order.Which expression can you use to find the total price of a scarf order?
48s - 4.75
4.758 - 48
48s + 4.75
4.75s + 48
HELP NOW PLSSS I BEG YOU

Answers

Answer: 48s + 4.75

Step-by-step explanation:

Each scarf is sold for $48 which is why the total price of buying s scarves is 48s or 48*s.

Assuming a single order of scarves can contain more than one scarf then that means that for s scarves, the shipping fee will remain the same at $4.75.

Should this be the case then the expression for an order of scarves will be;

= 48s + 4.75

This shows the price of ordering s number of scarves plus the shipping cost of $4.75 for the order comprising s number of scarves.

Answer:

48s + 4.75

is the answer i did the quiz and got it correct

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