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Let’s check out your problem:
Find the missing number so that the equation has no solutions.
\newline
_
_
_
_
x
+
2
=
−
3
x
−
11
\_\_\_\_x + 2 = -3x - 11
____
x
+
2
=
−
3
x
−
11
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Math Problems
Algebra 1
Create linear equations with no solutions or infinitely many solutions
Full solution
Q.
Find the missing number so that the equation has no solutions.
\newline
_
_
_
_
x
+
2
=
−
3
x
−
11
\_\_\_\_x + 2 = -3x - 11
____
x
+
2
=
−
3
x
−
11
Find Missing Number:
Find the missing number so that the equation has no solutions. ____x + 2 = -3x - 11
Set Coefficients Equal:
Set the coefficients of
x
x
x
equal to each other to find the missing number: ____x = -3x
Substitute Missing Number:
The missing number that makes the coefficients equal is
4
4
4
, so the equation becomes:
4
x
+
2
=
−
3
x
−
11
4x + 2 = -3x - 11
4
x
+
2
=
−
3
x
−
11
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\newline
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How many solutions does the following equation have?
\newline
9
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