Question

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

Answer 1

Answer:

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

Step-by-step 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:
 $(x, y) = (2, -1)$