One piece of paper , graphed the system of equations. then determine which answer choice matches the graph you drew and identify the solution to the system. y=-2x-1 y=x+5

The solution to the system is (-2, 3)

Step-by-step explanation: In order to graph these equations, plug in any numbers for the value x to solve for the y value. For example, you can choose x to equal -1. Solve for this in both equations: y = -2(-1) - 1 and y = -1 + 5.

Y = -2(-1) - 1

Y = 2 - 1

Y = 1

Y = -1 + 5

Y = 4

Graphing this, you can see the values (-1, 1) for y = -2(-1) - 1 (blue) and (-1, 4) for y = -1 + 5 (red). Continue to solve for y using a variety of x values until you find where both lines cross each other.

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