Question

Solve the following system of equations and show all work. y = −x2 + 4 y = 2x + 1

Answer 1

We have that for the Question "Solve the following system of equations and show all work." it can be said that given the system of equation we have

$x_1=-3\\\\ x_2=-5\\\\y_1=1\\\\y_2=3$

From the question we are told

Solve the following system of equations and show all work.

• y = −2x + 4
• y = 2x + 1

Solving system of equations

Generally the equation are   is mathematically given as

y = −x^2 + 4

y = 2x + 1

solving simultaneously

$x_1=-3\\\\ x_2=-5\\\\y_1=1\\\\y_2=3$

Therefore

The plot is shown in diagram  below

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