Question

Sylvie finds the solution by graphing y=2/3x+1 and y=-2/3x-1

which graph shows the solution to sylvies system of equations?

Answer 1

2/3x + 1 = -2/3x - 1
2/3x + 2/3x = -1 - 1
4/3x = -2
x = -2 * 3/4
x = -6/4 reduces to -3/2

y = 2/3x + 1
y = 2/3(-3/2) + 1
y = -1 + 1
y = 0

solution is : (-3/2 , 0).....the graph that has the lines intersecting at (-3/2,0) is ur solution

Answer 2

we have

`y=(2)/(3) x+1` ----------> equation
`1`

`y=-(2)/(3) x-1` ----------> equation
`2`

using a graph tool

we know that

the intersection point of both lines is the solution of the system

so

the solution is the point
`(-1.5,0)`

see the attached figure

therefore

the answer is

The solution of the system is the point
`(-1.5,0)`

The graph in the attached figure