Step-by-step explanation:
Hey there!
Here;
The equations are;
[tex]8x + 7y = 39.......(i)[/tex]
[tex]4x - 14y = - 68..........(ii)[/tex]
Multiplying equation (i) by 2.
16x + 14y = 78
4x - 14y = -68
20x = 10
[tex] x = \frac{10}{20} [/tex]
x = 1/2.
Putting value of 'x' in equation (i).
[tex]8 \times \frac{1}{2} + 7y = 39[/tex]
[tex]4 + 7y = 39[/tex]
[tex]7y = 3 9 - 4[/tex]
[tex]y = \frac{35}{7} [/tex]
Therefore the value of y is 5.
Check:
Put value of x and y in equation (i).
8x + 7y = 39
[tex]8 \times \frac{1}{2} + 7 \times 5 = 39[/tex]
[tex]4 + 35 = 39[/tex]
[tex]39 = 39[/tex]
(True).
Therefore, the solution is ; (1/2,5).
Hope it helps...
