Respuesta :

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First, rearrange the equations:

[tex]x + y = 0[/tex]

[tex] - x + y = - 1[/tex]

Then, do equation 1 minus equation 2 to cancel y:

[tex]x - - x = 2x[/tex]

[tex]0 - - 1 = 1[/tex]

[tex]2x = 1[/tex]

[tex]x = \frac{1}{2} [/tex]

Substitute x to find y:

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

So the point of intersection is (1/2, -1/2), which is represented by graph 1.

Answer:

Given system of equations,

y = - x   ------(1)

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

From equation (1) and (2),

-x = x - 1

-x - x = -1

-2x = -1

[tex]\implies x = \frac{1}{2}[/tex]

Again from equation (1),

[tex]y = -\frac{1}{2}[/tex]

Thus, the intersection point of the lines (1) and (2), is [tex](\frac{1}{2}, -\frac{1}{2})[/tex]

Hence, the below graph represents the solution to the system of equations.

Ver imagen slicergiza

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