Question

{6x + 7y = 2 {3x - 4y = 46 Смотреть ответ albertnoroyan albertnoroyan x=(46+4y)/3 6•(46+4y)/3+7y=2 2•(46+4y)+7y=2 92+8y+7y=2 15y=-90 y=-6 x=(46+4•(-6))/3=(46-24)/3=22/3

Answer 1

The solution to the given system of equations is:

x = 22/3 y = -6

To obtain these values, we can solve the system of equations step by step:

1. Start with the equation 3x - 4y = 46. Rearrange it to solve for x: 3x = 4y + 46 --> x = (4y + 46)/3.

2. Substitute this expression for x into the first equation: 6((4y + 46)/3) + 7y = 2. Simplify the equation: (8y + 92)/3 + 7y = 2.

3. Multiply the equation by 3 to eliminate the denominator: 8y + 92 + 21y = 6. Combine like terms: 29y + 92 = 6.

4. Move the constant term to the other side: 29y = 6 - 92 --> 29y = -86.

5. Solve for y: y = -86/29 --> y = -6.

6. Substitute this value of y back into the expression for x: x = (4(-6) + 46)/3. Simplify: x = (22)/3 --> x = 22/3.

Therefore, the solution to the system of equations is x = 22/3 and y = -6.