Question

2x+y=8 and x+ y=5 solve graphically
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Answer 1

Solution of the equations 2x + y = 8 and x + y = 5 is x = 3, y = 2.

Step-by-step explanation:

Let us plot the equations on graph paper first. For that purpose, we find points lying on them.

The first equation is 2x + y = 8 ⇒ y = 8 - 2x

• When x = 0, y = 8
• When x = 1, y = 6
• When x = 2, y = 4

So, the required points are (0, 8), (1, 6) and (2, 4). We plot them on graph paper to draw the straight line 2x + y = 8.

The second equation is x + y = 5 ⇒ y = 5 - x

• When x = 0, y = 5
• When x = 1, y = 4
• When x = 2, y = 3

So, the required points are (0, 5), (1, 4) and (2, 3). We plot them on graph paper to draw the straight line x + y = 5.

We can see that, the point (3, 2) is the point of intersection of the given lines.

Thus the required solution is x = 3, y = 2.

Answer 2

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it's the answer given

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