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the answers to this test Solving Equations & Inequalities Unit Test is
1. 6
2.9
5 answers
solve for x 20= 5-3/8 x
To solve the equation \( 20 = 5 - \frac{3}{8}x \), follow these steps:
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Isolate the variable term: Start by moving the constant (5) to the left side of the equation. You can do this by subtracting 5 from both sides:
\[ 20 - 5 = -\frac{3}{8}x \] \[ 15 = -\frac{3}{8}x \]
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Clear the fraction: To eliminate the fraction, multiply both sides by -8/3. This will help isolate \( x \):
\[ x = 15 \times -\frac{8}{3} \]
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Calculate \( x \):
\[ x = -\frac{120}{3} \] \[ x = -40 \]
Thus, the solution is:
\[ x = -40 \]
solve for x 7(4x - 15) =63
To solve the equation \( 7(4x - 15) = 63 \), follow these steps:
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Distribute the 7:
\[ 7 \cdot 4x - 7 \cdot 15 = 63 \] \[ 28x - 105 = 63 \]
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Add 105 to both sides to isolate the term with \( x \):
\[ 28x - 105 + 105 = 63 + 105 \] \[ 28x = 168 \]
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Divide both sides by 28 to solve for \( x \):
\[ x = \frac{168}{28} \] \[ x = 6 \]
Thus, the solution is:
\[ x = 6 \]
3 answers