Question

{4x+15 y=-42, -6x+25y=-32; 1 Смотреть ответ ekaterinkamiss ekaterinkamiss

Answer 1

To solve the system of equations:

Equation 1: 4x + 15y = -42 Equation 2: -6x + 25y = -32

There are multiple methods to solve this system of equations, such as substitution, elimination, or using matrices. I'll demonstrate the elimination method here:

Step 1: Multiply Equation 1 by 6 and Equation 2 by 4 to make the coefficients of x in both equations opposites: Equation 1: 24x + 90y = -252 Equation 2: -24x + 100y = -128

Step 2: Add the two equations together: (24x + 90y) + (-24x + 100y) = -252 + (-128) 24x - 24x + 90y + 100y = -380 190y = -380 Divide both sides by 190: y = -380/190 y = -2

Step 3: Substitute the value of y back into one of the original equations. Let's use Equation 1: 4x + 15(-2) = -42 4x - 30 = -42 Add 30 to both sides: 4x = -12 Divide both sides by 4: x = -12/4 x = -3

So the solution to the system of equations is: x = -3 y = -2

Please let me know if there's anything else I can help you with!