MATHEMATICS MIDDLE SCHOOL

Estimate the solution to the system of equations.
2x+3y=6
-4x+3y=12

Answers

Answer 1

Answer:

The solution is:

$x=-1, y=2(2)/(3)$

Step-by-step explanation:

Given

2x+3y=6 Eqn 1

-4x+3y=12 Eqn 2

Subtracting equation 2 from equation 1

$2x+3y-(-4x+3y)=6-12\n2x+3y+4x-3y=-6\n6x=-6\nDividing\ both\ sides\ by\ -6\n(6x)/(6)=(-6)/(6)\nx=-1$

Putting x=-1 in equation 1

$2x+3y=6\n2(-1)+3y=6\n-2+3y=6\n3y=6+2\n3y=8\nDividing\ both\ sides\ by\ 3\n(3y)/(3)=(8)/(3)\ny=2(2)/(3)$

The solution is:

$x=-1, y=2(2)/(3)$

Keywords: Linear equations

Learn more about linear equations at:

#LearnwithBrainly

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What is a common denominator for 4/7

Answers

a common denominator is 28 and more
Hope this helps
And for 3/5
a common denominator is 15, 30, 45, 60, and more

Sarah walks 3.1 kilometers on Monday and 1.35 kilometers on Tuesday. On Wednesday she walks 2.4 times as far as she walked on the previous two days combined. How far does Sarah walk on Wednesday?

Answers

Answer:10.68

Step-by-step explanation:

3.1 + 1.35 = 4.45 4.45 × 2.4 = 10.68

Answer:

10.68

Step-by-step explanation:

i worked it out on a piece of paper but this is my answer

The line plot shows how many siblings each student has. how many more students have only one sibling than at least 3 siblingsx
x x
x x
x x x x
x x x x x
x x x x x
<----l-------l--------l-------l-------l--->

Answers

So for this you must ignore the student with 2.

then you see how many in order

1-6 siblings
1-5 siblings
2-3 siblings

add up the left coulumn to get 4 people have more than 3 siblings

What is 78% of 50 questions

Answers

0.78 times 50 is 39.
78% is (0.78) So, multiply that by 50 and get the amount out of 50 questions.

How do you find the height of a 3d object such as a triangle or a cylinder

Answers

In the case of a cylinder, one or several of the following data must be provided: the total area/lateral area and the circumference/area of the base or the area of the base and the volume. Ex: provided the circumference of the base = 10π inches, and the lateral area = 50π inches², the equation can be written as 50π ÷ 10π = 5 inches.

Well, for ANY prism (included cylinder), divide volume by area of base.
h = V / B

For ANY pyramid (included cone), divide volume by area of base, then multiply it by 3.
h = 3V / B

Is 4.44 equal ti 4.044