Question

3х-4у=18 5х+2у=4 решите систему способом сложения

Answer 1

$\frac{3x-4y=18}{5x+2y=4};$
 2 часть *2, получается $\frac{3x-4y=18}{10x+4y=8}$ 
3x+10x-4y+4y=18+8
13x=26
x=2

Answer 2

I can help you solve the system of equations by the method of addition. Here are the steps:

1. Multiply the first equation by 2 and the second equation by 4 to eliminate the y-terms. You will get:

6x - 8y = 36

20x + 8y = 16

2. Add the two equations together and solve for x. You will get:

26x = 52

x = 2

3. Substitute x = 2 into any of the original equations and solve for y. For example, using the first equation, you will get:

3(2) - 4y = 18

6 - 4y = 18

-4y = 12

y = -3

4. The solution of the system is (x, y) = (2, -3). You can check this by plugging the values of x and y into both equations and verifying that they are true.

You can also use online calculators to solve systems of equations, such as the ones in the web search results , , , or . However, I recommend that you practice solving them by yourself to improve your mathematical skills.