Given -
3x + 5y = 14
6x -4y = 9
To Find -
x and y =?
Step-by-Step Explanation -
3x + 5y = 14 .....(1)
6x -4y = 9 ......(2)
Multiply equation (1) with ×2
We get
6x + 10y = 28 ......(3)
Now,
(3) - (2)
6x + 10y - 6x + 4y = 28 - 9
14y = 19
y = 19/14
So, on putting the value of y in eq(1)
We get
3x + 5(19/14) = 14
14(3x) + 95 = 196
42x = 101
x = 101/42
Graph: