Question

draw a graph of linear equation 2x+5y=13 check whether (4,1) is a solution

Answer 1

Answer:

yes

2(4)+5(1)=8+5=13 =RHS

Yes, (4,1) is solution

Answer 2

Answer:

Yes, (4, 1) is a solution of the equation 2x + 5y = 13.

Step-by-step explanation:

Step 1 of 2

Consider the given linear equation as follows:

2x + 5y = 13 . . . . . (1)

Substitute the value 0 for x in the equation (1) as follows:

2(0) + 5y = 13

5y = 13

y = 13/5

Substitute the value 0 for y in the equation (1) as follows:

2x + 5(0) = 13

2x = 13

x = 13/2

The points (x, y) of the equation 2x + 5y = 13 is calculated in the table as follows:

x         0           13/2

y         13/5         0

Plot the points on the graph.

Step 2 of 2

Check whether (4, 1) is a solution or not.

Substitute the value 4 for x and 1 for y in the equation 2x + 5y = 13 as follows:

⇒ 2(4) + 5(1) = 13

⇒ 8 + 5 = 13

⇒ 13 = 13

This shows that the point (4, 1) is a solution of the equation 2x + 5y = 13.

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