What are the solutions to the following system of equations?y = x^{2} + 3x − 73x − y = −2

Nannie Mack 2020-10-25 Answered

What are the solutions to the following system of equations?
{y=x2+3x73xy=2

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Theodore Schwartz
Answered 2020-10-26 Author has 99 answers

{y=x2+3x73xy=2
I'll plug the top into the bottom since it is already y=
3x(x2+3x7)=2
distribute the negative and get rid of parenthesis
3xx23x+7=2
condense x2+7=2
re-write as quadratic with positive x2
x29=0
solve for x
x=3,
x=3
plug in each x to get its y
y=7,
y=11
solutions: (-3,-7) and (3,11)

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2022-06-11
A nonlinear system of equations
{ y 3 9 x 2 + 27 x 27 = 0 z 3 9 y 2 + 27 y 27 = 0 x 3 9 z 2 + 27 z 27 = 0
asked 2022-06-21
Find the real values x , y , z such that
{ x + y 2 + z 3 = 21 ( 1 ) y + z 2 + x 3 = 71 ( 2 ) z + x 2 + y 3 = 45 ( 3 )
asked 2022-05-21
Find m to the equation:
{ 2 x 3 ( y + 2 ) x 2 + x y = m ( 1 ) x 2 + x y = 1 2 m ( 2 )
My try: From ( 1 ) and ( 2 ) :
4 x 3 2 ( y + 2 ) x 2 + 2 x y + x 2 + x y = 1 4 x 3 3 x 2 + x 1 = y ( 2 x 2 2 x + 1 ) y = 4 x 3 3 x 2 + x 1 2 x 2 2 x + 1 y = 2 x + 1 2 3 2 ( 2 x 2 2 x + 1 )
From ( 2 )
2 m = 1 + y x 2 x = 1 + 2 x + 1 2 3 2 ( 2 x 2 2 x + 1 ) x 2 x = x 2 + x + 3 2 3 2 ( 2 x 2 2 x + 1 )
And I don't know how to contine,
The result is: m 1 3 2
asked 2022-05-21
System of nonlinear differential equations
y ˙ 1 = 2 y 1 y 2 y 2 2
y ˙ 2 = 2 y 1 2 y 1 y 2
i) Calculate the equilibrium points en determine their stability.
ii) Draw the Phase Plot.
asked 2022-05-28
If a, b, c and d satisfy the equations:
a + 7 b + 3 c + 5 d = 0
8 a + 4 b + 6 c + 2 d = 16
2 a + 6 b + 4 c + 8 d = 16
5 a + 3 b + 7 c + d = 16
then ( a + d ) ( b + c ) equals 16.
why ( a + d ) ( b + c ) equals 16?
asked 2022-06-02
System of 3 equations
1 x + 1 y + z = a 1 y + 1 x + z = b 1 z + 1 x + y = c
asked 2021-06-16

Solve the system by clennaton 2xy=0
3x2y=3
The solution is ( . )