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

Answer:

The system of x and y is no solutions.

C is correct

Step-by-step 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

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

$2x-2x-33=7$

$-33\neq 7$

-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.