Question

(3y+ x=7 бистро (y-5x=5

Answer 1

Ответ:

(-0.5; 2.5)

Пошаговое объяснение:

$3y + x = 7 \\ y - 5x = 5 \\ \\ 3y + x = 7 \\ - 3y + 15x = - 15 \\ \\ 16x = - 8 \\ x = - 0.5 \\ = > y = 5 - 2.5 = 2.5$

Answer 2

To solve this system of linear equations:

1. 3y + x = 7
2. y - 5x = 5

You can use the method of substitution or elimination. I'll use the elimination method in this example:

First, let's multiply the second equation by 3 to make it easier to eliminate one of the variables:

1. 3y + x = 7
2. 3(y - 5x) = 3(5)

Now, the equations are:

1. 3y + x = 7
2. 3y - 15x = 15

Now, we can eliminate y by subtracting equation (3) from equation (1):

(3y + x) - (3y - 15x) = 7 - 15

This simplifies to:

3y + x - 3y + 15x = -8

Now, combine like terms:

16x = -8

Now, divide both sides by 16 to solve for x:

x = -8/16 x = -1/2

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

3y + (-1/2) = 7

Now, add 1/2 to both sides to isolate 3y:

3y = 7 + 1/2 3y = 15/2

Finally, divide both sides by 3 to solve for y:

y = (15/2) / 3 y = 15/6 y = 5/2

So, the solution to the system of equations is:

x = -1/2 y = 5/2