Question

x = 9, y =4 is a solution of the linear equation:
A. 2x +3 y = 17
B. x + y = 17
C. 2x + y = 17
D. x +2y = 17​

Answer 1

Answer:

D is answer..

you can check by substituting x and y values in a, b, c, and d.

so x+2y=17

9+2(4)=17

Answer 2

Given:

x = 9, y =4

To find:

The linear equation whose solution is x = 9, y =4.

Solution:

To find the linear equation whose solution is x = 9, y =4, we will satisfy the given values in all the equations. Let's start by substituting the values in the first linear equation:

2x +3 y = 17

2(9) +3 (4) = 17

18 + 12 = 17

30 = 17

Thus, x = 9, y =4 does not satisfy the given linear equation.

Now let's substitute the values of x and y in the next linear equation:

x + y = 17

9 + 4 = 17

13 = 17

Thus, x = 9, y =4 does not satisfy the given linear equation.

Now let's substitute the values of x and y in the next linear equation:

2x + y = 17

2(9) + 4 = 17

18 + 4 = 17

22 = 17

Thus, x = 9, y =4 does not satisfy the given linear equation.

Now let's substitute the values of x and y in the next linear equation:

x +2y = 17​

9 +2(4) = 17​

9 +8 = 17​

17 = 17​

Thus, x = 9, y =4 satisfies the given linear equation.

Option D is correct.