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Illusion [34]
2 years ago
9

Find the solution for the system of linear equations by substitution: 2x - y = 3 y − x = 1

Mathematics
1 answer:
Leviafan [203]2 years ago
7 0

The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x- y = 3

y - x = 1

Make y the subject in the second equation, by adding x to both sides of the equation

y - x + x = x + 1

This gives

y = x + 1

Substitute y = x + 1 in 2x- y = 3

2x- x - 1 = 3

Evaluate the like terms

x = 4

Substitute x = 4 in y = x + 1

y = 4 + 1

Evaluate

y = 5

Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

Read more about system of linear equations at

brainly.com/question/14323743

#SPJ1

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write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind o
BlackZzzverrR [31]

Answer:

w = 40 miles per hour

r = 300 miles per hour

Step-by-step explanation:

We add w with the wind and subtract w against the wind

r+w = 340 miles per hour

r - w = 260 miles per hour

Add the two equations together to eliminate w

r+w = 340 miles per hour

r - w = 260 miles per hour

----------------------------------------

2r = 600

Divide by 2

r = 300 miles per hour without the wind

Now find w

r+w = 340

300 + w = 340

Subtract 300

w = 340-300

w = 40 miles per hour

7 0
4 years ago
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
SVETLANKA909090 [29]

Answer:

5/12 chance

Step-by-step explanation:

take the number of months that start with J and M over the number of months in the year.

6 0
3 years ago
Read 2 more answers
Please help please and thank you
lara31 [8.8K]

Answer:

Step-by-step explanation:

2x + 3x + 8 - 3x - 2 = 2x + 6

The first and third expressions.

7 0
3 years ago
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In an arboretum, the heights of five trees were 21 feet, 31 feet, 36 feet, 28 feet,
lbvjy [14]

Answer:

26

Step-by-step explanation:

(21+31+36+28+26+x)/6=28

21+31+36+28+26+x= 28×6

142+x =168

x=168-142

x=26

6 0
3 years ago
What is the expression for f(x) when we rewrite <br> (5⁻⁴ˣ⁺⁷)÷(125x) as 5^f(x)
alexandr402 [8]

Answer: The answer is f(x) = -7x + 7.


Step-by-step explanation:  We are give a relation as follows :

5^{-4x+7}\div 125^x=5^{f(x)}.

From here, we need to find the expression for f(x).

Here, we will be using the following properties of exponents :

(i)~\dfrac{a^x}{a^y}=a^{x-y}.\\\\(ii)~a^x=a^y~\Rightarrow x=y.

We have

5^{-4x+7}\div 125^x=5^{f(x)}\\\\\Rightarrow5^{-4x+7}\div 5^{3x}=5^{f(x)}\\\\\\\Rightarrow \dfrac{5^{-4x+7}}{5^{3x}}=5^{f(x)}\\\\\\\Rightarrow 5^{-4x+7-3x}=5^{f(x)}}\\\\\Rightarrow 5^{-7x+7}=5^{f(x)}\\\\\Rightarrow -7x+7=f(x).

Thus, the required expression is f(x) = -7x + 7.




8 0
3 years ago
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