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.
