Question

Solve the following pairs of linear equations using method of elimination by substitution.
2x - 5y = 9
5x + 2y = 4

Answer 1

confused..................

Answer 2

Answer:

x = 38/29

y = 185/29

Step-by-step explanation:

2 x - 5 y = 9 ......................i

5 x + 2 y = 4...............ii

Elimination by substitution,

Multiply 2 in equation i and 5 in equation in ii we get,

4 x - 10 y = 18........iii

25 x + 10 y = 20..............iv

Now, add iii and iv

29 x = 38

x = 38/29

On substituting the value of x, find the value of y

2 x - 5 y = 9

2 (38/29) - 5 y = 9

5 y = 9 - 76/ 29

y = 29 * 9 - 76/29 = 261 - 76/29 = 185/29