Question

Two system of equations 2y =14-2x and y=-x + 7 is graphed. What is the solution to the system of equations

Answer 1

Answer:

• Infinitely many solutions

Step-by-step explanation:

Given equations

• 2y =14-2x and
• y= -x + 7

Rewriting the first equation

• 2y = 14 - 2x
• 2y = -2x + 14
• y = -x + 7

As we see it is same as the second equation. So same two lines, overlapping when graphed and the system has infinitely many solutions

Answer 2

Answer:

To solve this system, we will use the graphing method.

Based on the graph shown below, we can conclude that this system has infinite solutions, because they are the same line.