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.

Tazmin Horton 2020-10-19 Answered

Solve the following linear and quadratic systems of equations:
y+3x=2 or 3x+2=y
y=x2
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.

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Expert Answer

liingliing8
Answered 2020-10-20 Author has 95 answers

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
x2=3x+2
x23x2=0
x=((3)±(3)24(1)(2))/(2(1)
x=3±17/2
x=3.562 and x=0.562
substitute 3.562 for x in equation 2
y=x2
y=(3.562)2
y=12.685substitute -0.562 for x in equation 2
y=x2
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

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