Question

Розв'яжи систему рівнянь: {4x−5y=6, 2x+10y=23 Смотреть ответ sssgeniysss sssgeniysss Ответ:4x-5y=62x+10y=234x-5y=6-4x-20y=-46-25y=-40y=1,64x-5*1,6=64x-9=64x=15x=3,5 отметь как лучший ответ пж

Answer 1

System of Equations Solution:

To solve the system of equations:

{4x - 5y = 6, 2x + 10y = 23}

We can use the method of substitution or elimination. Let's use the elimination method in this case.

First, we can multiply the second equation by 2 to make the coefficients of x in both equations the same:

{4x - 5y = 6, 4x + 20y = 46}

Next, we can subtract the first equation from the second equation to eliminate x:

(4x + 20y) - (4x - 5y) = 46 - 6

This simplifies to:

25y = 40

Now, we can solve for y by dividing both sides of the equation by 25:

y = 40/25

Simplifying further, we get:

y = 1.6

Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:

4x - 5(1.6) = 6

Simplifying, we get:

4x - 8 = 6

Adding 8 to both sides of the equation:

4x = 14

Dividing both sides by 4:

x = 14/4

Simplifying further, we get:

x = 3.5

Therefore, the solution to the system of equations is:

x = 3.5 y = 1.6

Please note that the solution is approximate due to the decimal values involved.

I hope this helps! Let me know if you have any further questions.