Question

5x - 3y = 0 3x + 4y = 29 и слева значок фигурной скобки

Answer 1

Решение в приложении

Answer 2

Solving the System of Equations

To solve the system of equations 5x - 3y = 0 and 3x + 4y = 29, we can use the substitution method or the elimination method. Let's use the elimination method to solve this system of equations.

First, we'll multiply the second equation by 3 and the first equation by 4 to make the coefficients of x in both equations equal. This will allow us to eliminate x when we add the equations together.

Applying the Elimination Method

Multiplying the second equation by 3: - 3 * (3x + 4y) = 3 * 29 - 9x + 12y = 87

Multiplying the first equation by 4: - 4 * (5x - 3y) = 4 * 0 - 20x - 12y = 0

Adding the two equations together: - 20x - 12y + 9x + 12y = 0 + 87 - 29x = 87

Solving for x

Now, we can solve for x by dividing both sides of the equation by 29: - x = 87 / 29 - x = 3

Finding the Value of y

To find the value of y, we can substitute the value of x into one of the original equations. Let's use the first equation 5x - 3y = 0.

Substituting x = 3 into the first equation: - 5*3 - 3y = 0 - 15 - 3y = 0 - -3y = -15 - y = 5

Conclusion

So, the solution to the system of equations 5x - 3y = 0 and 3x + 4y = 29 is: - x = 3 - y = 5