Question

What is the solution of the system pf equations y=-4x+6 y= -5x - 4

Answer 1

that's the solution of the system

Answer 2

For this case we must indicate the solution of the following system of equations:

`y = -4x + 6\\y = -5x-4`

Equating both equations we have:

`-4x + 6 = -5x-4`

Adding 5x to both sides of the equation:

`-4x + 5x + 6 = -4\\x + 6 = -4`

Subtracting 6 from both sides of the equation:

`x = -4-6\\x = -10`

We look for the value of y:

`y = -5x-4\\y = -5 (-10) -4\\y = 50-4\\y = 46`

Thus, the solution is:
`(x, y): (- 10,46)`

Answer:

`(x, y): (- 10,46)`