Question

X- 3 y = - 4 4x+2y = 8 ​

Answer 1

Ответ:

1)X-3y+4=0

2)X2+y-4=0

Answer 2

To solve the system of equations:

1. X - 3y = -4
2. 4x + 2y = 8

There are several methods to solve this system, such as substitution, elimination, or matrix methods. Let's use the elimination method.

Step 1: Multiply both sides of equation (1) by 2 to make the coefficients of 'y' the same in both equations. 2x - 6y = -8

Step 2: Now, add equation (2) and the modified equation (1) to eliminate 'y': (2x - 6y) + (4x + 2y) = -8 + 8

Step 3: Simplify and solve for 'x': 6x - 4y = 0 6x = 4y x = 4y / 6 x = (2y / 3)

Step 4: Substitute the value of 'x' into equation (1) to find 'y': (2y / 3) - 3y = -4

Step 5: Solve for 'y': Multiply through by 3 to eliminate the fraction: 2y - 9y = -12 -7y = -12 y = -12 / -7 y = 12/7

Step 6: Now, find 'x' using the value of 'y': x = (2y / 3) x = (2 * 12 / 3) x = 24 / 3 x = 8

So the solution to the system of equations is x = 8 and y = 12/7.