Solve the following system of equations:

1. \(10x + 7y = 1\)

2. \(-5x - 7y = 24\)

To solve the system of equations:
10x + 7y = 1 -5x - 7y = 24
We can use the method of elimination. Adding the two equations together eliminates the variable y:
(10x + 7y) + (-5x - 7y) = 1 + 24 5x = 25 x = 5
Substituting the value of x into one of the original equations, we can solve for y:
10(5) + 7y = 1 50 + 7y = 1 7y = -49 y = -7
Therefore, the solution to the system of equations is x = 5 and y = -7.

Answered by DonalSutherland | 2024-06-18

The solution to the system of equations is x = 5 and y = − 7 . We used the elimination method to find these values. First, we eliminated y by adding the equations, then solved for x and substituted back to find y .
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Answered by DonalSutherland | 2024-12-26