Solve the following pair of linear equations using substitution methodx-3y = 13

x+2y=8

Answers

Answer 1
Answer:

Answer:

(10, - 1 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 13 → (1)

x + 2y = 8 → (2)

Rearrange (1) making x the subject by adding 3y to both sides

x = 3y + 13 → (3)

Substitute x = 3y + 13 into (2)

3y + 13 + 2y = 8

5y + 13 = 8 ( subtract 13 from both sides )

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 3(- 1) + 13 = - 3 + 13 = 10

solution is (10, - 1 )


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9.812 rounded to the nearest hundredth

Answers

Answer:

9.81

Step-by-step explanation:

1/100 = 0.01

Therefore the answer is 9.81 as 2 will be rounded down.

2x+5y=16 -5x-2y=2
Solve the following system of equations. Express your answer As an ordered pair in the format (a,b), with no spaces between the numbers or symbols.

Answers

Answer:

(x,y) = (-2,4)

Step-by-step explanation:

We have two equations:

(1).\:2x+5y=16\n(2).-5x-2y=2

Now let us us multiply equation (1) by 5, and equation (2) by 2:

(1).\:5(2x+5y=16)\rightarrow\:10x+25y=80\n\n(2).2(-5x-2y=2)\rightarrow\:-10x-4y=4

and add the two equations to get:

21y=84

\boxed{y=4}

Now we put this value of y into equation(1) and solve for x :

2x+5(4)=16

2x=-4

\boxed{x=-2}

Thus the solution to our system of equations is

\boxed{(x,y)=(-2,4)}

Answer:

Make sure that you enter just (-2,4)

The set of numbers 1, 7, 11, and 36 contains values of m. What value of m makes the equation below true? 4m + 8 = 36 ​

Answers

Answer:7

Step-by-step explanation:

4m+8=36

4(7)+8=36

28+8=36

36=36

Answer:

i think its 7

Step-by-step explanation:

Evaluate :- a) (6.4)² - (3.6)²

Answers

Answer:28

Step-by-step explanation: 6.4x6.4 = 40.96

3.6x3.6=12.96

Final answer:

To evaluate the expression (6.4)² - (3.6)², square each of the numbers and then subtract the square of 3.6 from the square of 6.4 to give a result of 28.

Explanation:

The question asked is mathematics related and it requires to evaluate an expression: (6.4)² - (3.6)². This is a simple arithmetic problem that involves squaring numbers and subtraction.

Firstly, squaring a number means multiplying the number by itself. Hence, (6.4)² equals to 6.4 * 6.4 which gives 40.96. Similarly, (3.6)² equals to 3.6 * 3.6 which gives 12.96.

Then, subtract the squared number of 3.6 from the squared number of 6.4. That is: 40.96 - 12.96, and you'll have your answer, which is 28.

Learn more about Arithmetic here:

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What is the squiggly line above the equal sign

Answers

if u are talking about triangles it would mean "congruent to"
example: ABC =~ DEF

Answer: it's congruent to

Step-by-step explanation:

What is the value of x, given that the two prisms are similar?

Answers

x = 10
The size of the larger prism is twice the size of the smaller one.
For example, as you can see from the base length of the triangular side: Larger is 3 units and the smaller is 1.5 units. 3÷2=1.5
So I did the same with the length of the base: 20÷2=10

Answer:

x=10

Step-by-step explanation:

right answer