Question

3х -4у = 165х + 6у = 14​

Answer 1

Ответ:

x = 4

y = -1

Пошаговое объяснение:

1) 3x - 4y = 16

15x - 20y = 80

15x = 80 + 20y

2) 5x + 6y = 14

15x + 18y = 42

15x = 42 - 18y

3) 15x - 15x = 80 + 20y + 18y -42

38y = -38

y = -1

4) 3x - 4y = 16

3x + 4 = 16

3x = 12

x = 4

Answer 2

It seems like you have a system of two equations with two variables:

1. 3x - 4y = 165
2. 165x + 6y = 14

You can solve this system of equations using either the substitution method or the elimination method. I'll use the elimination method here.

First, let's simplify the equations:

Equation 1: 3x - 4y = 165 Equation 2: 165x + 6y = 14

Now, let's eliminate one of the variables. To do this, you can add the two equations together, which will eliminate the variable "y" because the y-terms have opposite coefficients:

(3x - 4y) + (165x + 6y) = 165 + 14

Combine like terms:

3x + 165x - 4y + 6y = 179

168x + 2y = 179

Now, you have a new equation:

3. 168x + 2y = 179

Next, you can solve this equation for either x or y. Let's solve it for y:

2y = 179 - 168x

Divide by 2:

y = (179 - 168x)/2

Now, you have an expression for y in terms of x:

y = 89 - 84x

You can now substitute this expression for y into one of the original equations (either Equation 1 or 2) to solve for x. Let's use Equation 1:

3x - 4(89 - 84x) = 165

Now, solve for x:

3x - 356 + 336x = 165

Combine like terms:

339x - 356 = 165

Add 356 to both sides:

339x = 521

Now, divide by 339 to find the value of x:

x = 521/339

Now that you have the value of x, you can plug it back into the expression for y:

y = 89 - 84x

y = 89 - 84(521/339)

y = 89 - (44,244/339)

To get a numerical approximation, you can calculate the values of x and y:

x ≈ 1.5365 y ≈ -129.9923

So, the solution to the system of equations is approximately:

x ≈ 1.5365 y ≈ -129.9923