Question

Algebra 1:
I can't figure this out and it's driving me insane; Have about 20 questions like it for my homework

Solve the system of equations.

y = –0.04x² + 5.2x
y = 1.12x + 1.6

Answer 1

OpenStudy values the Learning process - not the ‘Give you an answer’ process
Don’t post only answers - guide the asker to a solution.

Answer 2

equate both the eq.

Answer 3

in other words,substitute value of y from 1 eq. into other

Answer 4

and solve

Answer 5

I'm not understanding how to do this. I substituted and got this: 1.12x+1.6=-0.04x^2+5.2 but I don't know what to do next.

Answer 6

first simplify it
notice that you have + 1.6 on left and + 5.2 on right side

so subtract + 5.2 from both sides:
1.12x+1.6=-0.04x^2+5.2

1.12x + 1.6 - 5.2 = -0.04x + 5.2 - 5.2
so the 5.2 disappears from the LHS
can you do the math on these 2 sides of the equation?

Answer 7

what is 1.6 - 5.2?

Answer 8

Um.. -3.6?

Answer 9

right so now we have

1.12x - 3.6 = -0.04 x^2

ok?

Answer 10

Okay. Then do I graph that?

Answer 11

you can solve it by graphing

it is a Quadratics equation which is written in the form

ax^2 + bx + c = 0
which can be solved algebraically

rearranging we get

0.04x^2 + 1.12x - 3.6 = 0

are you familiar with these equations?

Answer 12

Oh yes. I can solve it from here. Thank you!

Answer 13

good you can use the quadratic formula

Answer 14

it will probably give you 2 values for x ,then
plugging in these values into one of the original equations will give you the values of y