Answer:
Step-by-step explanation:
First, let's multiply the first equation by two on the both sides:
[tex]8x + 7y = 39 \times 2[/tex]
⇒ [tex]16x + 14y = 78[/tex]
Now, the system is:
[tex]16x + 14y = 78\\\\4x -14y = -68[/tex]
After adding this up in the column:
[tex](16x + 4x) + (14y - 14y) = 78 - 68\\\\20x = 10\\\\ x = 10/20 = 1/2[/tex]
y can be calculated by replacin the x:
[tex]8x + 7y = 39\\\\ 8* 1/2 + 7y = 39\\\\4 + 7y = 39\\\\7y = 39 - 4\\\\7y = 35\\\\ y = \frac{35}{7} = 5[/tex]
The solution to the system of equation are as follows:
x = 1 /2 and y = 5
8x + 7y = 39
4x – 14y = -68
multiply equation(1) by 2
Therefore,
Therefore, the combine equation is as follows:
16x + 14y = 78
4x - 14y = -68
let's add the equations
(16x + 4x) + (14y + (-14y)) = 78 - 68
20x = 10
x = 10 / 20
x = 1 / 2
Replace the value of x in equation(ii)
4(1 /2) - 14y = -68
2 - 14y = -68
-14y = -68 - 2
-14y = -70
y = - 70 / - 14
y = 10 / 2
y = 5
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