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What I Have Learned Complete Me! Directions: Complete the graphic organizer below to summarize what you learned on how to graph systems of linear equations in two variables. How do you solve systems of linear equations in two variables by graphing? STEP 1: Examine each equation. { x x - y = -5 x+y=1 Are both equations written in YES slope-intercept form? NO

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Answer:

Step 2. Write the equation in slope-intercept form. {y = x + 5

{y = -x + 1

Step 3. Graph each system of equations.

Step 4. Determine the point of intersection and check.

When x = -2, y = 3

x - y = -5 x + y = 1

-2 -3 = -5 -2 + 3 = 1

-5 = -5 ✓ 1 = 1 ✓

Step 5. Classify the system.

Since the graph intersects at exactly one point and ordered pair (-2,3) satisfies both of the equations in the system, then the system has exactly one situation. It is consistent and independent.

Step-by-step explanation:

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