MATHEMATICS COLLEGE

7. Here is a system of equations:-x+6y=9
x+6y=-3
Would you rather use subtraction or addition to solve the system? Explain
your reasoning. (Lesson 2-14)

Answers

Answer 1
Answer:

Final answer:

It is more convenient to use addition to solve the system of equations as it eliminates one of the variables when the equations are added. The solution to the system of equations is x = -6 and y = 1/2.


Explanation:

To solve the given system of equations, it is generally more convenient to use addition rather than subtraction. This is because addition eliminates one of the variables when the equations are added together, making it easier to solve for the remaining variable. Let's see how:

Using addition:

Adding the two equations together eliminates the 'x' variable:

-x + 6y + x + 6y = 9 + (-3)

12y = 6

Now, we can solve for 'y' by dividing both sides by 12:

y = 6/12 = 1/2

Substituting the value of 'y' back into either of the original equations, we can solve for 'x':

-x + 6(1/2) = 9

-x + 3 = 9

-x = 6

x = -6

Therefore, the solution to the system of equations is x = -6 and y = 1/2.


Learn more about Solving systems of equations here:

brainly.com/question/29050831

Related Questions

Write an expression that represents 72 divided by n plus 4
Which best describes vibration?the distance traveled per unit in timethe action of moving back and forth quickly and steadilythe distance between one compression and the compression next to itthe action of moving through a material or substance
2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diverabove the water and x is the horizontal distance from the diving board (in feet). How far from theend of the diving board is the diver when he hits the water?
What value of x makes the equation x^3=64 true?
Carl has three lengths of cable, 3/6 yard long, 1/4 yard long, and 1/3 yard long, which two pieces together make a length of 20/24 yard?

Write a corresponding real-world problem for each equation.1. 0.55x + 4.50 = 0.65x + 3.50

2. 8x + 80 = 4x + 120

Answers

Answer:

It is 2 because it is a math question with the factors on the multipulcation

Step-by-step explanation:

Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?

Answers

Answer:

There are 1600 residents.

Step-by-step explanation:

0.2 times x = 320  divide by 0.2

x = 1600

Answer:

65

Step-by-step explanation:

I think. hope this hepls

Find the scale factor of the line segment dilation. AB: endpoints (-6, -3) and (-3,-9) to A'B': endpoints at (-2, -1) and (-1, -3). A) -1/3 B) 1/3 C) 3D) -3

Answers

we know that the endpoints of AB are

\begin{gathered} (x_1,y_1)=\mleft(-6,-3\mright) \n (x_2,y_2)=(-3,-9) \end{gathered}

and the distance formula is given by

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

By substituying these points, we have that

d=\sqrt[]{(-3-(-6))^2+(-9-(-3))^2}

which is equal to

\begin{gathered} d=\sqrt[]{(-3+6)^2+(-9+3)^2} \n d=\sqrt[]{3^2+(-6)^2} \end{gathered}

then

\begin{gathered} d=\sqrt[]{9+36} \n d=\sqrt[]{45} \n d=\sqrt[]{9\cdot5} \n d=\sqrt[]{9}\cdot\sqrt[]{5} \n d=3\sqrt[]{5}\ldots..(A) \end{gathered}

On the other hand, if

\begin{gathered} (x_1,y_1)=(-2,-1) \n (x_2,y_2)=(-1,-3) \end{gathered}

similarly to the previous case, the distance between the endpoint for A'B' is

d=\sqrt[]{(-1-(-2))^2+(-3-(-1))^2}

which is equal to

\begin{gathered} d=\sqrt[]{(-1+2)^2+(-3+1)^2} \n d=\sqrt[]{1^2+(-2)^2} \n d=\sqrt[]{1+4} \n d=\sqrt[]{5}\ldots..(B) \end{gathered}

Now, by comparing equation A and equation B, we can see that, the scale factor is 1/3.

Then, the answer is B.

Solve for the distance between the points (0, -9) and (-4, 3).

Answers

It’s 12.649 :)
The formula I used is:
Square root of (x2-x1)^2+(y2-y1)^2

01) What is the perimeter of shape B?
2) Which shape's perimeter is less? Shape A or shape D.
3) Area of which shape is more?
4) Area of which shapes are equal?
5) Which shape has equal perimeter and area?
TA)
(B)
(c)
(D)​

Answers

Answer:

whichshape's permeteris less shape A or D shape.

Answer:

ask google assistaint then if you dont get it go f yourself like u did to me

Step-by-step explanation:

Volume round to the nearest tenth

Answers

Answer:

504 in.

Step-by-step explanation:

6 · 12 · 7 = 504

Answer:

504in^3

Step-by-step explanation:

voluke of rectangular prism formula: LWH

where l=length(7)

w=width(12)

h=height(6)

so

7*12*6=504

504in^3
Other Questions
14) Centroid R is found in TriangleABC below with BZ = 42, CA = 40 and RY = 16. Determine theperimeter of Triangle ARZ.
The Schuller family has five members. Dad is 6ft 2in tall. Mom is 3 inches shorter than Dad, but 2 inches taller than Ivan. Marcia is 5 inches shorter than Ivan, but twice as tall as Sally-Jo. What is the mean height of the Schuller family?
Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”? Check all that apply. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.” The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides. The hypothesis is: it is a trapezoid. The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides. The conclusion is: it is a trapezoid.
What is the w 4w+3w=63