Question

Solve the following linear and quadratic systems of equations:y + 3x = -2 or 3x +2 = yy = x^2a. Show all work in solving your system of equations algebraically.b. Graph your system of equations and show the solution graphically to verify your solution.

Forms of linear equations
ANSWERED
asked 2020-10-19

Solve the following linear and quadratic systems of equations:
\(y + 3x = -2\ or\ 3x +2 = y\)
\(y = x^2\)
a. Show all work in solving your system of equations algebraically.
b. Graph your system of equations and show the solution graphically to verify your solution.

Expert Answers (1)

2020-10-20

Given Data:
Linear equation: \(y = 3x+2\) ……(1)
Quadratic equation: \(y = x2\) ……(2)
(a)
Substitute x2 for y in the linear equation and solve
\(y=3x+2\)
\(x^2=3x+2\)
\(x^2-3x-2=0\)
\(x=(-(-3) \pm \sqrt{(-3)^2-4(1)(-2))/(2(1)}\)
\(x=3\pm \sqrt{17}/2\)
\(x=3.562\) and \(x=0.562\)
substitute 3.562 for x in equation 2
\(y=x^2\)
\(y=(3.562)^2\)
\(y=12.685 \)substitute -0.562 for x in equation 2
\(y=x^2\)
\(y=(-0.562)^2\)
\(y=0.315\)
From above, the intersection points of line and curve are (-0.562, 0.315) and (3.562, 12.685).
(b)
The graph of line and curve is shown in the figure below.
image

29
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...