Question

hey i need help solving...
4a-2b+c=-24
a-b+c=13
9a+3b+c=9
can anyone help me with this

Answer 1

Is this factoring?

Answer 2

no it wants me to solve it and turn it into a quadratic

Answer 3

so you need the amount of the variables ?

Answer 4

yes

Answer 5

4a-2b+c=-24-(1)
a-b+c=13-(2)
9a+3b+c=9-(3)
Let us eliminate c from equations (1) and (2).
To do that subtract equation (2) from equation (1).
(1)-(2)=>
4a-2b+c-(a-b+c)=24-13
4a-2b+c-a+b-c=11
3a-b=11-(4)
Similarly let us eliminate c from equations (2) and (3).
To do that subtract equation (2) from equation (3).
(3)-(2)=>
9a+3b+c-(a-b+c)=9-13
9a+3b+c-a+b-c=-4
8a+4b=-4-(5)
Nw take the equations (4) and (5).
3a-b=11-(4)
8a+4b=-4-(5)
Let us eliminate b from both the equations.
To do that we need to multiply equation (4) by 4. Then we will get
(4)*4=>
4(3a-b)=4*11
12a-4b=44-(6)
Nw add both equations (5) and (6)
(5)+(6)=>
8a+4b+12a-4b=-4+44
20a=40
Solve for a.
Then plug in that value of a in 3a-b=11 to find b.
Then plug in the values of a and b in a-b+c=13 to find c.
Can u find them @morganalana17?