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

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.

Answer 2

• Infinitely many solutions

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