Question

2x+3y=1
x2+xy=10
Want answer

Answer 1

The solutions to the system of equations is given as follows:

(-6, 4.33) and (5, -3).

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the equations are given by:

• 2x + 3y = 1.

• x² + xy = 10.

From the first equation, we have that:

$y = \frac{1 - 2x}{3}$

Replacing into the second equation, we have that:

$x^2 + xy = 10$

$x^2 + x\frac{1 - 2x}{3} = 10$

3x² + x(1 - 2x) = 30

x² + x - 30 = 0

(x + 6)(x - 5) = 0.

The solutions are:

• x + 6 = 0 -> x = -6, y = [1 - 2(-6)]/3 = 4.33.

• x - 5 = 0 -> x = 5, y = [1 - 2(5)]/3 = -3.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1