Question

examples - round to three decimal places if needed
solve the systems by graphing.
y=2x²+5x-1
y=x-3
(-1,-4)
solve the systems by graphing.
y=x²+4x-4
y=2x-5

Explanation:

Step1: Set equations equal to each other

$x^2 + 4x - 4 = 2x - 5$

Step2: Rearrange to standard quadratic form

$x^2 + 4x - 4 - 2x + 5 = 0$
$x^2 + 2x + 1 = 0$

Step3: Factor the quadratic

$(x + 1)^2 = 0$

Step4: Solve for x

$x + 1 = 0 \implies x = -1$

Step5: Find y using linear equation

$y = 2(-1) - 5 = -2 - 5 = -7$

Answer:

$(-1, -7)$