Question

РЕШИТЕ УРАВНЕНИЯ!!! СРОЧНО!!! 1) {х+6у=14 2х+3у=10 2) {х+7у=12 5х-13у=12 3) {5х+у=13 9х-2у=12 4) {х+2у=0,3 х=-у+0,5 Смотреть ответ viktoria1448 viktoria1448 Ответы на фото✅Удачи❤️❤️ Помогли очень СПАСИБО БОЛЬШОЕ

Answer 1

Solving the Equations

Let's solve the given set of equations step by step.

1) {х + 6у = 14, 2х + 3у = 10

To solve this system of equations, we can use the substitution method. First, let's solve the first equation for x: ``` х = 14 - 6у ``` Now, substitute this value of x into the second equation: ``` 2(14 - 6у) + 3у = 10 28 - 12у + 3у = 10 28 - 9у = 10 -9у = 10 - 28 -9у = -18 у = -18 / -9 у = 2 ``` Now that we have the value of у, we can substitute it back into the equation to find the value of x: ``` х = 14 - 6*2 х = 14 - 12 х = 2 ``` So, the solution to the first set of equations is x = 2, у = 2.

2) {х + 7у = 12, 5х - 13у = 12

Using the same substitution method, we can solve for x and у: ``` х = 12 - 7у 5(12 - 7у) - 13у = 12 60 - 35у - 13у = 12 60 - 48у = 12 -48у = 12 - 60 -48у = -48 у = -48 / -48 у = 1 ``` Substitute у = 1 back into the equation to find the value of x: ``` х = 12 - 7*1 х = 12 - 7 х = 5 ``` So, the solution to the second set of equations is x = 5, у = 1.

3) {5х + у = 13, 9х - 2у = 12

Using the same method: ``` 5х = 13 - у 9х = 12 + 2у ``` We can solve for x and y by substituting the value of 5х and 9х: ``` 13 - у + у = 12 + 2у 13 = 12 + 2у 2у = 13 - 12 2у = 1 у = 1 / 2 ``` Substitute у = 1/2 back into the equation to find the value of x: ``` 5х = 13 - 1/2 5х = 25/2 х = 25/10 х = 5/2 ``` So, the solution to the third set of equations is x = 5/2, у = 1/2.

4) {х + 2у = 0.3, х = -у + 0.5

We can solve this by substituting the value of х from the second equation into the first equation: ``` (-у + 0.5) + 2у = 0.3 -у + 0.5 + 2у = 0.3 у + 0.5 = 0.3 у = 0.3 - 0.5 у = -0.2 ``` Substitute у = -0.2 back into the equation to find the value of x: ``` х = -(-0.2) + 0.5 х = 0.2 + 0.5 х = 0.7 ``` So, the solution to the fourth set of equations is x = 0.7, у = -0.2.

I hope this helps! If you have any more equations to solve or any other questions, feel free to ask.