Question

Найдите x 1) 2x + 3y=3 2) 5x+6y=9

Answer 1

1) 2x=3-3y
x= (3-3y)/2 или 3(1-y)/2

2) 5x=9-6y
x=(9-6y)/5   или 3(3-2y)/5

Answer 2

To find the values of x and y, you can use the method of substitution or elimination. I'll demonstrate the elimination method here.

Given the system of equations:

1. 2x + 3y = 3
2. 5x + 6y = 9

Step 1: Multiply both sides of equation 1 by 2 to make the coefficients of x in both equations equal: 2(2x + 3y) = 2(3) Simplifying: 4x + 6y = 6

Now, you have the following system of equations:

1. 4x + 6y = 6
2. 5x + 6y = 9

Step 2: Subtract equation 1 from equation 2 to eliminate the variable y: (5x + 6y) - (4x + 6y) = 9 - 6 Simplifying: 5x - 4x = 3 x = 3

Step 3: Substitute the value of x back into either equation 1 or 2 to find the value of y. I'll use equation 1: 2x + 3y = 3 2(3) + 3y = 3 6 + 3y = 3 3y = 3 - 6 3y = -3 y = -1

So, the solution to the system of equations is x = 3 and y = -1.