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PSYCHO15rus [73]
3 years ago
12

Solve for y in the first equation x + 3y = 6 2x − y = 10

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Solve equation [1] for the variable x [1] x=(3y+6)

Plug this in or variable x in equation [2]

[2] 2(-3y+6)-y= 10

[2] -7y=-2  

// solve equation [2] for the variable y

[2]   7y= 2

[2]    y=2/7

By now we know this much  

X= -3y+6

Y=2/7

Use the y value to solve for x  

X=-3(2/7)+6=36/7

(x,y)=(36,7), (2/7)  


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              <span> Direct-substituting x = -2 gives 0/0, so we know that by the factor theorem, both the numerator and denominator have a factor of x + 2. From there, we can cancel out the conflicting factors and apply the limit.

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