51.7k views
5 votes
Is (2,7) a solution to the system of equations: y= x + 5 y= 4x + 1 Part 1 (circle 1) Yes No Part 2 Shows a proof of your answer

User WaeCo
by
3.0k points

1 Answer

0 votes

Answer

(2, 7) is not a solution to this system of equations.

The ordered pair doesn't fit into the second equation

Step-by-step explanation

To check if the given ordered pair is a solution to this, we will insert the values into the two equations and if they fit into rach equation, then, the ordered pair is a solution for this.

y = x + 5

y = 4x + 1

(2, 7) means x = 2, y = 7

y = x + 5

7 = 2 + 5

7 = 7

y = 4x + 1

7 = 4(2) + 1

7 = 8 + 1

7 ≠ 9

The ordered pair doesn't fit into the second equation, hence, (2, 7) is not a solution to this system of equations.

Hope this Helps!!!

User Unifreak
by
3.5k points