solve graphically2x-y-5=0 and 2x+y-6=0
Answers
Answer:
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Step-by-step explanation:
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Answer:
Step 1 :
The equations are
2x - y - 5 = 0 ...(i)
→ 2x - y = 5
→ \frac{2x}{5}+\frac{-y}{5}=1
5
2x
+
5
−y
=1
→ \dfrac{x}{\frac{5}{2}}+\frac{y}{-5}=1
2
5
x
+
−5
y
=1
Line (i) intersects x axis at (\frac{5}{2},0)(
2
5
,0) and y axis at (0, - 5)
2x + y - 6 = 0 ...(ii)
→ 2x + y = 6
→ \frac{2x}{6}+\frac{y}{6}=1
6
2x
+
6
y
=1
→ \frac{x}{3}+\frac{y}{6}=1
3
x
+
6
y
=1
Line (ii) intersects x axis at (3, 0) and y axis at (0, 6)
❈ Step 2 :
Now, draw a set of rectangle axis XOX' and YOY'
Plotting the set of points for each lines and connecting the respective points, we get two intersecting lines.
❈ Step 3 :
From the graph, it can be found easily that the point of intersection of the given two lines is (\frac{11}{4},\frac{1}{2})(
4
11
,
2
1
) .
❈ Step 4 :
Therefore, the required solution be
x= 11/ 4 and y= 1/ 2
Step-by-step explanation:
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