will fan and medal if question is answered!

Solve the following system of equations algebraically. Show your work on your written work page. If the answer is not a whole number, give your answer accurate to 2 decimal places.
Write the points in order from left to right. (The one that has the leftmost x-value goes first)

\begin{cases} y = 3x^{2}-24x+52 \ y = -3x+22 \end{cases}

Question

will fan and medal if question is answered!

Solve the following system of equations algebraically. Show your work on your written work page. If the answer is not a whole number, give your answer accurate to 2 decimal places.
Write the points in order from left to right. (The one that has the leftmost x-value goes first)

\begin{cases} y = 3x^{2}-24x+52 \ y = -3x+22 \end{cases}

xapproachesinfinity · Answer

first thing you need to do is to replace y in the 1 equation by $\large \it\color{maroon}{-3x+22  }$

xapproachesinfinity · Answer

can you do that?

anonymous · Answer

3x^2-24x+52 = -3x +22 ?

anonymous · Answer

still there?

anonymous · Answer

Yes that's correct :

3x^2 -24x +52 +3x -22=0

3x^2 -21x +30= 0

factor out a 3

3(x^2-7x+10)

3(x-2)(x-5)

x= 2, 5

xapproachesinfinity · Answer

Sorry! something went wrong with OP and i didn't see the notice that you replied
but Study is here!
she will help you out

anonymous · Answer

@xapproachesinfinity  I'm sorry too!  >.< It was kinda bad of me.  Sorry!!
Yes for some reason I'm missing some notifications too. :o

anonymous · Answer

hehe np! thanks for your help :D

xapproachesinfinity · Answer

No worries @study100 , nothing to be sorry about
Anytime sinista!