What are the solutions to the following system of equations?

y = x2 + 3x - 7

3x - y = - 2

(3, 11) and (-3, - 7)

(11, 3) and (-3, - 7)

(3, 11) and (-7, - 3)

No real solutions

Question

Mathematics

Adriel Lloyd

3 March, 10:14

What are the solutions to the following system of equations?

y = x2 + 3x - 7

3x - y = - 2

(3, 11) and (-3, - 7)

(11, 3) and (-3, - 7)

(3, 11) and (-7, - 3)

No real solutions

+3

Answers (1)

Know the Answer?

Vicente Cobb · Answer 1

We will express second equation in first.

y = 3x + 2

after that we get:

3x + 2 = x^2 + 3x - 7

x^2 - 9 = 0

x^2 = 9

x1 = 3

x2 = - 3

y1 = 3*3+2 = 11

y2 = - 3*3 + 2 = - 7

we get pairs:

(3,11) and (-3,-7)

Answer is first option.

What are the solutions to the following system of equations?y = x2 + 3x - 73x - y = - 2(3, 11) and (-3, - 7)(11, 3) and (-3, - 7)(3, 11) and (-7, - 3)No real solutions

What are the solutions to the following system of equations?

y = x2 + 3x - 7

3x - y = - 2

(3, 11) and (-3, - 7)

(11, 3) and (-3, - 7)

(3, 11) and (-7, - 3)

No real solutions