SOLUTION: True or false: This pair of equations is equivalent. 9x-3=15 and 5x + 4=14 true or false:The solution of the equation 7y-6=7y +3 is zero

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: True or false: This pair of equations is equivalent. 9x-3=15 and 5x + 4=14 true or false:The solution of the equation 7y-6=7y +3 is zero      Log On


   

Question 157853: True or false: This pair of equations is equivalent. 9x-3=15 and 5x + 4=14
true or false:The solution of the equation 7y-6=7y +3 is zero
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

The equations 9x-3=15 and 5x + 4=14 are equivalent if they have the same solution.


So let's solve 9x-3=15


9x-3=15 Start with the given equation.


9x=15%2B3 Add 3 to both sides.


9x=18 Combine like terms on the right side.


x=%2818%29%2F%289%29 Divide both sides by 9 to isolate x.


x=2 Reduce.



So the solution of 9x-3=15 is x=2



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Now let's solve




5x%2B4=14 Start with the given equation.


5x=14-4 Subtract 4 from both sides.


5x=10 Combine like terms on the right side.


x=%2810%29%2F%285%29 Divide both sides by 5 to isolate x.


x=2 Reduce.



So the solution to 5x%2B4=14 is x=2


Since the two equations have the same solution, this means that they are both equivalent.

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# 2


7y-6=7y+%2B3 Start with the given equation


7%280%29-6=7%280%29%2B3 Plug in y=0


0-6=0%2B3 Multiply


-6=3 Combine like terms. Since the equation is NOT true, this means that y=0 is NOT a solution.