Answer:
The correct option is D.
Step-by-step explanation:
The given equations are
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
The slope intercept form of a line is
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Where, m is slope and b is y-intercept.
In equation (1),
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Here, m=-1 and b=1. It means the slope of the line is -1 and y-intercept is 1.
In equation (1),

Here, m=2 and b=4. It means the slope of the line is 2 and y-intercept is 4.
The steps to solve the pair of equations graphically are:
Step 1: On a graph, plot the line y = -x + 1 which has y intercept = 1 and slope = -1; and y = 2x + 4 which has y intercept = 4 and slope = 2.
Step 2: Write the coordinates of the point of intersection of the two lines as the solution.
Therefore the correct option is D.