Instructions: Solve the following systems using the graphing method.System Ay=x+2𝑦=𝑥+2 and y=−x+8𝑦=−𝑥+8(( Answer 1 Question 8 ,, Answer 2 Question 8 )
Question
Instructions: Solve the following systems using the graphing method.System Ay=x+2𝑦=𝑥+2 and y=−x+8𝑦=−𝑥+8(( Answer 1 Question 8 ,, Answer 2 Question 8 )
Solution
To solve the system of equations using the graphing method, follow these steps:
Step 1: Graph the first equation y = x + 2 This is a straight line with a slope of 1 and a y-intercept of 2.
Step 2: Graph the second equation y = -x + 8 This is a straight line with a slope of -1 and a y-intercept of 8.
Step 3: Identify the point where the two lines intersect. This point is the solution to the system of equations.
By graphing these two equations, you will find that they intersect at the point (3,5). So, the solution to the system of equations is x = 3 and y = 5.
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