Respuesta :

isyllus

Answer:

Solution: (4,-5)

Step-by-step explanation:

Given: system of equation,  y=2x-13 and y=x²-6x+3

using substitution method,

substitute  y=2x-13 into y=x²-6x+3

[tex]2x-13=x^2-6x+3[/tex]

[tex]x^2-6x-2x+3+13=0[/tex]

[tex]x^2-8x+16=0[/tex]

[tex](x-4)(x-4)=0[/tex]

[tex]x=4,4[/tex]

Put x=4 into y=2x-13

y = 2(4) - 13

y = 8-13

y = -5

Solution: (4,-5)

Now check by graphically. Please find attachment for graph.

Ver imagen isyllus

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