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

Question

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

sweetburger · Answer

substitue the y in the first equation with the y in the second equation you will end up with an equation that looks like 2x+1 = -x^2 +4 then proceed from this

annebelleschneiders · Answer

what do I do after x^2+x=3/2 ????

whpalmer4 · Answer

Use the quadratic formula?  Factor it?  But I'm going to save you some trouble and suggest that you've made a mistake somewhere in getting to this point, and should revisit that work first.

$$2x+1 = -x^2+4$$I would add $x^2$ to both sides, subtract $4$ from both sides, then factor. Set each factor equal to $0$ and solve for the values of $x$.

Next time, post the math questions in the math section, please..

annebelleschneiders · Answer

so the answer is x= -3, 1

whpalmer4 · Answer

Let's check them:

$$2x+1 = -x^2 + 4$$$$2(-3)+1 = -(-3)^2+4$$$$-6+1 = -9+4$$$$-5=-5\checkmark$$

$$2(1) + 1 = -(1)^2+4$$$$2+1 = -1+4$$$$3=3\checkmark$$

Good job!