Question

What is the solution to the system of equations?

2x – y = 7

y = 2x + 3

(2, 3)
(2, 7)
no solution
infinite number of solutions

Answer 1

No solution would be the answer.

Answer 2

ANSWER


The given system of equations has no solution.

Step-by-step explanation

We write the two equations in the slope-intercept form,


`y = mx + c`


The first equation is

`2x - y = 7`

We make y the subject to obtain,


`y = 2x - 7 - - (1)`

The second equation is already in slope intercept form.



`y = 2x + 3 - - (2)`



We can see that the two equations have the same slope but different y-intercept. This implies that, the two equations will never intersect. Therefore the system of equations has no solution.