Question

Solution of linear system x + 2y =-8 and -4x +y =5

Answer 1

The solution to the system is x = -2 and y = -3. To solve the linear system of equations x + 2y = -8 and -4x + y = 5, you can use the method of substitution.

Step-by-step explanation:

To solve the linear system of equations x + 2y = -8 and -4x + y = 5, we can use the method of substitution:

1. Start with one equation and solve for one variable in terms of the other. Let's solve the second equation for y: y = 4x + 5.
2. Substitute this expression for y into the first equation: x + 2(4x + 5) = -8. Simplify and solve for x: 9x + 10 = -8. Subtract 10 from both sides: 9x = -18. Divide by 9: x = -2.
3. Substitute this value of x back into the second equation to find y: y = 4(-2) + 5 = -3.

Therefore, the solution to the linear system of equations is x = -2 and y = -3.