Question

What is the solution to the system of equations? 2x – y = 7 y = 2x + 3

Answer 1

2nd one, y=2x+3
so subsitute y with 2x+3 in other equation

2x-(2x+3)=7
2x-2x-3=7
0-3=7
-3=7
false
no solution
(also, the slopes of the lines are the same and therefor they are paralell and differnet y intercepts so never intersect)


no solution

Answer 2

Answer:  The given system of equations will have NO solution.

Step-by-step explanation:  We are given to find the solution to the following system of linear equations :

$2x-y=7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=2x+3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

We will be solving the given system of equations by the method of SUBSTITUTION.

Substituting the value of y from equation (ii) in equation (i), we get

$2x-y=7\\\\\Rightarrow 2x-(2x+3)=7\\\\\Rightarrow 2x-2x-3=7\\\\\Rightarrow -3=7,$

which can NEVER be true.

Therefore, the given system of equations will have NO solution.