Answer :
The solution to the system of equations is x = 0.929 and y = 7.
To solve the system of equations:
7x + 13y = 97.5
14x + 12y = 97
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of elimination:
Multiply the first equation by 2 and the second equation by -1 to eliminate x:
14x + 26y = 195
-14x - 12y = -97
Adding these two equations, we get:
14x - 14x + 26y - 12y = 195 - 97
14y = 98
y = 98/14
y = 7
Now, substitute the value of y into one of the original equations, let's use the first equation:
7x + 13(7) = 97.5
7x + 91 = 97.5
7x = 97.5 - 91
7x = 6.5
x = 6.5/7
x = 0.9285714285714286
Therefore, the solution to the system of equations is x = 0.929 and y = 7.
For more details of system of equations :
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