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

Consider

2x – y = 7

y = 2x + 3

Subst. 2x+3 for y in the first equation: 2x - (2x + 3) = 7

This boils down to 0 + 3 = 7, which simply is not true and can never be true.

Thus, this system of equations has no solution.

Answer 2

The system of x and y is no solutions.

C is correct

Explanation:

Given: System of equation

`2x-y=7`

`y=2x+3`

We have system of equation and to solve for x

Using substitution method to solve for x and y

Substitute y=2x+33 into 2x-y=7

`2x-(2x+33)=7`

`2x-2x-33=7`

`-33\\eq 7`

-33 is not equal to 7.

We didn't get the value of x.

No solution for x and y

Hence, The system of x and y is no solutions.