Question

which description best describes the solution to the following system of equations y= -2x +3 y= -x + 1

Answer 1

The two systems will intercept at point x = 2, y=-1

Explanation:

The solution of the two equations can be determined using substitution:

`y=-2*x+3` (1)

`y=-x+1` (2)

Substitue equation 1 into 2:

We obtain the equation in terms of x and simplify

`-2*x+3=-x+1`

`x=2`

Therefore x=2 we can substitute into equation 2

`y=-(2)+1= -1` (2)

Therefore the systems will intercept at point (2,-1)

Answer 2

For this case we have the following system of equations:

`y = -2x +3 y = -x + 1`
Equating the values of y we have:

`-2x +3 = -x + 1`
From here, we can clear the value of x.
We have then:

`-2x + x = 1 - 3 -x = -2 x = 2`
Then, we look for the value of y.
For this, we substitute x in any of the equations:

`y = -x + 1 y = -2 + 1 y = -1`
Answer:
The ordered pair solution of the system of equations, is given by:

`(x, y) = (2, -1)`