Answer: (-1, 1)
Explanation:
Method 1: Graphing
Since the graph is already given, we could directly refer to the intersecting point of the system of equations.
According to the graph, [ y = 2x + 3 ] and [ y = -x ] intersect at (-1, 1).
Therefore the solution is
Method 2: Substitution
Given equation
1) y = 2x + 3
2) y = -x
Substitute the y value in the 1) equation by the 2)
(-x) = 2x + 3
Add x on both sides
-x + x = 2x + 3 + x
0 = 3x + 3
Subtract 3 on both sides
0 - 3 = 3x + 3 - 3
-3 = 3x
Divide 3 on both sides
-3 / 3 = 3x / 3
x = -1
Substitute the x value into one of the equations to find the y value
y = -x
y = - (-1)
y = 1
Therefore, the solution is
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