Question

Solve the system of equations below by graphing both equations with a pencil

Answer 1

Answer:

Option (C)

Step-by-step explanation:

System of the equations have been given as,

$y=x+1$ --------(1)

$y=-\frac{1}{2}x+4$ -------(2)

Substitute the value of y from equation (1) to equation (2),

$x+1=-\frac{1}{2}x+4$

$x+1=-\frac{1}{2}x+4$

$x+\frac{1}{2}x=4-1$

$\frac{3}{2}x=3$

$x=2$

Substitute the value of 'x' in equation (1),

$y=2+1$

$y=3$

By using a graphing utility, graph of the equations that will intersect each other at a point (2, 3).

Therefore, solution of the system of equations will be $(2,3)$.

Option (C) will be the answer.