Question

Find two solution of the following equation :2x+5y=15​

Answer 1

To find two solutions of the equation 2x + 5y = 15, we can use the method of substitution. One solution is (7.5, 0) and another solution is (0, 3).

Step-by-step explanation:

To find two solutions of the equation 2x + 5y = 15, we can use the method of substitution. In this method, we solve one of the equations for one variable and substitute this expression into the other equation. Let's solve for x:

Solving for x:

2x + 5y = 15

2x = 15 - 5y

x = (15 - 5y) / 2

Now, we can substitute this value of x into the equation:

Substituting x into the equation:

2((15 - 5y) / 2) + 5y = 15

(15 - 5y) + 5y = 15

15 - 5y + 5y = 15

15 = 15

This equation is true for any value of y. Let's find two solutions:

Solution 1:

If we choose y = 0, then x = (15 - 5(0)) / 2 = 15 / 2 = 7.5

So, one solution is (x, y) = (7.5, 0).

Solution 2:

If we choose y = 3, then x = (15 - 5(3)) / 2 = 0

So, another solution is (x, y) = (0, 3).