Question

Solve the system y=2x-13 and y=x²-6x+3.Illustrate graphically.

Answer 1

Solution: (4,-5)

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

`2x-13=x^2-6x+3`

`x^2-6x-2x+3+13=0`

`x^2-8x+16=0`

`(x-4)(x-4)=0`

`x=4,4`

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.