Math  /  Algebra

Question7. 6x5y=126 x-5 y=12
8. y=6x8y=6 x-8

Studdy Solution
Verify the solution by substituting x=76 x = \frac{7}{6} and y=1 y = -1 into both original equations.
For Equation 1:
6(76)5(1)=12 6\left(\frac{7}{6}\right) - 5(-1) = 12
Simplify:
7+5=12 7 + 5 = 12
12=12 12 = 12 (True)
For Equation 2:
y=6(76)8 y = 6\left(\frac{7}{6}\right) - 8
1=78 -1 = 7 - 8
1=1 -1 = -1 (True)
Both equations are satisfied.
The solution is:
x=76,y=1 x = \frac{7}{6}, \quad y = -1

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