6x+7y= 10 3x+ 7y= 12
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Answer:
Step-by-step explanation:
System of Linear Equations entered :
[1] 6x - 7y = 10
[2] 3x + 7y = -8
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 7y = -3x - 8
[2] y = -3x/7 - 8/7
// Plug this in for variable y in equation [1]
[1] 6x - 7•(-3x/7-8/7) = 10
[1] 9x = 2
// Solve equation [1] for the variable x
[1] 9x = 2
[1] x = 2/9
// By now we know this much :
x = 2/9
y = -3x/7-8/7
// Use the x value to solve for y
y = -(3/7)(2/9)-8/7 = -26/21
Solution :
{x,y} = {2/9,-26/21}
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