Posted by **Robert** on Friday, November 16, 2012 at 1:48pm.

15. What is the solution of the linear-quadratic system of equations?

{y = x^2 + 5x - 3}

{y - x = 2}

- HELP !!! Algebra 2 -
**Steve**, Friday, November 16, 2012 at 2:34pm
Try substituting those values, and you will see they do not fit either equation.

looking at the 2nd equation, y = x+2, so

x+2 = x^2+5x-3

x^2 + 4x - 5 = 0

(x+5)(x-1) = 0

x = -5 or 1

so, y = -3 or 3

the solutions are thus (-5,-3)(1,3)

- HELP !!! Algebra 2 -
**mathgeekdude**, Friday, November 16, 2012 at 5:19pm
first things first...calm down. yes, its extremely hard. but we go simple approach. y-x=2 implies y=x+2.we substitute that in the first equation to get x+2 = x^2+5x-3 =x^2+4x-5=0.

We factor to get (x-1)(x+5)=0. Thus, x=1, or -5. PLugging in, we get y=-3,3. Thus, (1,3)(-5,-3) are the solutions

## Answer this Question

## Related Questions

- Algebra - What is the solution of the linear-quadratic system of equations? {y...
- Algebra - How can you tell if an equation is quadratic and not linear? Quadratic...
- math - 15. What is the solution of the linear-quadratic system of equations? y=...
- Linear algebra - Consider for every real number a the linear system of equations...
- Algebra - Suppose a linear system of equations has 2012 equations and 2013 ...
- algebra - Solve the system of linear equations by graphing 3x+y=0 2x-y=5 Graph ...
- Math - Determine if f could be a linear function x 0 1 2 3 4 f(x) 3 5 7 11 15 is...
- college geomrtry - What are the differences between linear and quadratic ...
- Math - What are the differences between linear and quadratic equations? How are ...
- Algebra - Solve this system of linear equations. * Used the substitution method ...