# algebra

posted by .

systems of nonlinear equations
i need to help i have tried this problem but i cannot find the right answer i need to determine the real solutions for this:

x^2+4xy=10
4x^2-xy=6

• algebra -

multipy the bottom equation by 4
x^2+4xy=10
16x^2-4xy=24

17x^2=34
solve for x, you get +-sqrt2

put each of those values into the first equation, and solve for y.
I will do the -sqrt2=x for you.

2-y4sqrt2=10
4ysqrt2=-8
y=-2/sqrt2= -sqrt2

now do the solution of y for x=+sqrt2

## Similar Questions

1. ### algebra 2

i really need help on these..i don't understand ....i need to find the real number solutions of the equations... -2v^6=16 3s^4+15s^2-72=0 3c^7=81c^4 3q^4+3q^3=6q^2+6q any help would be appreciate...thank you!!
2. ### College Algebra

I need a little help with this problem. P(x)=2x^4-17x^3+47x^2-58x+24 (A) Find all possible candidates for real zeroes. I got +-1, +-2, +-3, +4, +-6,+-8, +-12, +-1.5, +-.5, and +-24. Then I have to find all real zeroes. I tried all …
3. ### math

Hi I need help with this math problem: The plane that contains the points (8,3,1), (2,6,3), and (4,6,2) has an equation of the form ax + by + cz = d. Find coefficients for this equation, trying two different approaches to the problem. …
4. ### algebra

systems of nonlinear equations i need to help i have tried this problem but i cannot find the right answer i need to determine the real solutions for this: x^2+4xy=10 4x^2-xy=6

systems of nonlinear equations i need to help i have tried this problem but i cannot find the right answer i need to determine the real solutions for this: x^2+4xy=10 4x^2-xy=6
6. ### Algebra

I have major issues with problems like these,please I need help. For these systems of linear equations in questions -Determine how many solutions exist -Use either elimination or substitution to find the solutions (if any) 1. y = 2x …
7. ### Algebra

Pulling my hair, need help! For the systems of linear equations in questions the following questions: Determine how many solutions exist Use either elimination or substitution to find the solutions (if any) 4x = 8 and 5y = 15 0.2x …
8. ### College Algebra

I am using Hawkes Learning System (8.7 Nonlinear Systems of Equations)and my problem is x^2+y^2=13 and y+7=x^2. The answers I came up with are 2 square root of 3 and 3 for my x's. And I received (5,-4) as the y-coordinates. Is this …
9. ### pre-alg

I need help to create an addition word problem and a subtraction word problem using fractions. I need to show how to find the solution to each problem. Once I find the solutions to my problems, I have to rewrite the solutions as either …
10. ### Algebra

I seriously need help on this math problem. I have tried to work it out myself but the answer is not coming out right. Select the approximate values of x that are solutions to f(x) = 0, where f(x) = -8x2 + 3x + 7.

More Similar Questions