How many pages will she read on the last night?
Answer:36
Step-by-step explanation:
Set PG=GO
-x+10 = -3x-6
Solve for x: x= -8
PG+GO=PO
-x+10-3x-6=PO
combine like terms: -4x+4= PO
Substitute your x value (-8) for x
-(-8)+10-3(-8)-6= 36
PO= 36
The length of line segment PO can be found by adding the lengths of line segments PG and GO. This results in a final equation of PO = -4x + 4.
In mathematical problems involving geometrical shapes, it is common to solve for lengths and distances. To determine the length of PO, we have to sum the lengths of PG and GO because, in a straight line, the total distance from point P to point O is the sum of segment PG and segment GO: PO = PG + GO.
Substitute the given equations into this expression to get: PO = (-x + 10) + (-3(x+2)). Simplifying this we get PO = -x + 10 -3x -6, and by combining like terms, we find that PO = -4x +4.
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