Determine whether the given number is a solution to the equation.
3x - 7 = 2x + 1
Is 5 a solution to this equation?
2007-08-10 05:34:26 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
3x - 7 = 2x + 1
Transpose 2x
3x - 7 - 2x = 2x + 1 - 2x
Collect like terms
x - 7 = 1
Transpose 7
x - 7 + 7 = 1 + 7
Collect like terms
x = 8
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Check
3x - 7 = 2x + 1
3(8) - 7 = 2(8) + 1
24 - 7 = 16 + 1
17 = 17
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The solution is 8
5 is not a solution
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2007-08-10 06:24:59 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
Is 5 s solution to the equation means that x=5. Replace X with 5:
3*5 - 7 = 2*5 +1
15 - 7 = 10 + 1
8 = 11
5 is NOT a solution to the equation.
2007-08-10 12:42:32 · answer #2 · answered by Biz Iz 3 · 0⤊ 0⤋
Just plug in the solution for the variable, simplify, and see if the equation is true:
3x - 7 = 2x + 1
3(5) - 7 = 2(5) + 1
15 - 7 = 10 + 11
8 = 11 ... NOT TRUE
So, 5 is not a solution to the equation.
2007-08-10 12:39:01 · answer #3 · answered by C-Wryte 4 · 0⤊ 0⤋
putting x=5 in LHS and RHS
LHS=3x-7=3*5-7=8
RHS=2x+1=2*5+1=11
x=5 does not make the two sides of the given equation equal,
so this(x=5) is not the solution of the equation. ANS
2007-08-10 12:48:05 · answer #4 · answered by Anonymous · 0⤊ 0⤋
No.
Plug 5 in for x:
3(5) - 7 = 2(5) + 1
15 - 7 = 10 + 1
8 = 11
Not true so 5 is not a solution.
To find the solutions, just solve it:
3x - 7 = 2x + 1
Subtract 2x from both sides and add 7 to both sides:
x = 8
2007-08-10 12:38:49 · answer #5 · answered by whitesox09 7 · 0⤊ 0⤋
Nope! 5 is not the answer.
3x - 7 = 2x + 1 reduces to x = 8.
Thus 8 is the answer.
2007-08-10 12:40:46 · answer #6 · answered by semyaza2007 3 · 0⤊ 0⤋
just solve the equation for x using algebra:
x-7=1
x=8
so x=5 is not a solution as the only solution is x=8
2007-08-10 12:38:14 · answer #7 · answered by Anonymous · 0⤊ 0⤋