Question

Решите систему: y=5-x 3x-y=19

Answer 1

 2х=20 Х=10 X-y=-1 Y=11

Answer 2

To solve the system of equations:

1. y = 5 - x
2. 3x - y = 19

We can use substitution or elimination method. Let's use the substitution method:

Step 1: Solve the first equation for y in terms of x. From the first equation: y = 5 - x

Step 2: Substitute y in the second equation with (5 - x): 3x - (5 - x) = 19

Step 3: Solve for x: 3x - 5 + x = 19 4x - 5 = 19 4x = 19 + 5 4x = 24 x = 24 / 4 x = 6

Step 4: Now that we have the value of x, substitute it back into the first equation to find y: y = 5 - x y = 5 - 6 y = -1

So, the solution to the system of equations is x = 6 and y = -1.