Question

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How many solutions does x+y=4 have?

Answer 1

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$\bold{\longmapsto}$Explanation

x+y=4

y=−x+4

The y-intercept is 4, so that's a point (0,4). The slope is −1, so the graph will move one point down for every point it moves right. The next point we can graph is (1,3). Use a straightedge to connect those two dots and make the graph. It'll look like this:

graph{-x+4 [-10, 10, -5, 5]}

It has infinite solutions.

Because we can write it as:

3+1=4

4+0=4

5+(-1)=4

2+2=4

1+3=4

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Answer 2

Given : -

x + y = 4

To Find : -

How many solutions does x + y = 4 have = ?

Step-by-step Explanation : -

x + y = 4 has infinitely solutions.

For Example : -

Putting x = 1

1 + y = 0

y = -1

Putting y = 1

x + 1 = 0

x = -1

Putting x = 2

2 + y = 0

y = -2

Putting y = 2

x + 2 = 0

x = -2

Therefore , this equation has infinitely Solutions.