A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Solve the following system of equations and show all work.
y=-x2 + 4, y=2x+1
Solution:
y = -x2 + 4
y = 2x + 1
These linear equations can be solved by using elimination or substitution method
As both the equations are equal to y, the two equations are equal to one another.
-x2 + 4 = 2x + 1
By further calculation
4 - 1 = 2x + x2
It can be written as
x2 + 2x = 3
x2 + 2x - 3 = 0
(x + 3) (x - 1) = 0
So we get
x = -3 or 1
Substituting the value of x in either of the equations
y = 2x + 1 or y = 2x + 1
y = 2 (-3) + 1 or y = 2 (1) + 1
y = - 6 + 1 or y = 2 + 1
y = -5 or y = 3
Therefore, the ordered pairs are (-3, -5) and (1, 3).
Solve the following system of equations and show all work.
Summary:
Solving the following system of equations, the ordered pairs are (-3, -5) and (1, 3).
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