(x - 8) - 5(y + 6) = 130
(x - 8) + 5(y + 6) = 435

The solution to the given system of equations is (x, y). What is the value of 4(x - 8)?

We solved the system of equations to find the values of x and y. The calculated value of 4(x - 8) is 1130. This was found by first isolating x and y from the equations provided and then substituting x back into the expression to get the final answer.
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Answered by Anonymous | 2025-07-18

To solve this system of equations and find the value of 4 ( x − 8 ) , let's first analyze the given equations:

( x − 8 ) − 5 ( y + 6 ) = 130
( x − 8 ) + 5 ( y + 6 ) = 435

We'll start by letting a = x − 8 and b = 5 ( y + 6 ) . This helps simplify the equations:

a − b = 130
a + b = 435

Now, let's solve this system of equations:

Add both equations:

( a − b ) + ( a + b ) = 130 + 435
This simplifies to:
2 a = 565
Dividing both sides by 2, we find:
a = 2 565 ​ = 282.5
Since a = x − 8 , we have x − 8 = 282.5 .
Now, we want to find 4 ( x − 8 ) :
4 ( x − 8 ) = 4 × 282.5 = 1130
Thus, the value of 4 ( x − 8 ) is 1130.

Answered by ElijahBenjaminCarter | 2025-07-21