Answer:
Step-by-step explanation: We can solve this in two ways: Solve the equations directly, or graph the lines and find the point they intersect (which will be the only point at which they are equal.
Solve The Equations:
y = 2x+9
y = -x-3
Set them equal to each other (to find x such that both equations will return the same value for y).
-x-3 = 2x + 9
-3x = 12
x = -4
Use x=-4 in either equation to find y:
y = -x-3
y = -(-4)-3
y = 1
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The point is (-4,1). That is the point that satisfies both equations:
1) y = 2x+9
y = 2(-4)+9
y = 1, and
2) y = -x-3
y = -(-4)-3
y = 1
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We can also solve by graphing and finding the point at which the two lines intersect. A graph is attached.
