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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?

Respuesta :

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

we have

[tex] y=\frac{2}{3} x+1 [/tex] ----------> equation [tex] 1 [/tex]

[tex] y=-\frac{2}{3} x-1 [/tex] ----------> equation [tex] 2 [/tex]

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 [tex] (-1.5,0) [/tex]

see the attached figure

therefore

the answer is

The solution of the system is the point [tex] (-1.5,0) [/tex]

The graph in the attached figure

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