
8)(3x + 5y = 212x - y = 1


Ответы на вопрос

Ответ:
у=-1+2х
3х+5(-1+2х)=21
3х-5+10х=21
13х=26
х=2
у=-1+2*2
у=3



Ответ:
3x+5y=21. 3x+5y=21. 3x+5(2x-1)=21.
-y=1-2x y=2x-1. Y=2x-1
3x+10x-5=21. 13x=26 x=2
Y=2x-1. Y=2*2-1=4-1=3
X=2 y=3



You have provided a system of two linear equations with two variables, x and y. To solve this system of equations, you can use either the substitution method or the elimination method. I will use the elimination method to solve it.
Here are the equations:
- 3x + 5y = 21
- 2x - y = 1
To solve this system of equations, you can eliminate one of the variables by adding or subtracting the equations. In this case, we can eliminate the variable y by adding the two equations together. Here's how you can do it:
Multiply the second equation by 5 to make the coefficients of y in both equations equal:
- 3x + 5y = 21
- 10x - 5y = 5
Now, add the two equations together:
(3x + 5y) + (10x - 5y) = 21 + 5
This simplifies to:
13x = 26
Now, divide both sides by 13 to solve for x:
x = 26 / 13 x = 2
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the second equation:
2x - y = 1
Substitute x = 2:
2(2) - y = 1 4 - y = 1
Now, subtract 4 from both sides to solve for y:
-y = 1 - 4 -y = -3
Multiply both sides by -1 to solve for y:
y = 3
So, the solution to the system of equations is:
x = 2 y = 3


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