Question

1. solve for c

61 = -9c + 7

1. solve for b.

6b - 11 = -23

1. solve for x:

-6x - 7 = -9x + 8

1. solve for x:

-5x + 4 = -4x + 9

Explanation:

Problem 25: Solve for $c$

Step1: Subtract 7 from both sides

$61 - 7 = -9c + 7 - 7$
$54 = -9c$

Step2: Divide by -9 on both sides

$\frac{54}{-9} = \frac{-9c}{-9}$
#

Problem 26: Solve for $b$

Step1: Add 11 to both sides

$6b - 11 + 11 = -23 + 11$
$6b = -12$

Step2: Divide by 6 on both sides

$\frac{6b}{6} = \frac{-12}{6}$
#

Problem 27: Solve for $x$

Step1: Add $9x$ to both sides

$-6x + 9x - 7 = -9x + 9x + 8$
$3x - 7 = 8$

Step2: Add 7 to both sides

$3x - 7 + 7 = 8 + 7$
$3x = 15$

Step3: Divide by 3 on both sides

$\frac{3x}{3} = \frac{15}{3}$
#

Problem 28: Solve for $x$

Step1: Add $4x$ to both sides

$-5x + 4x + 4 = -4x + 4x + 9$
$-x + 4 = 9$

Step2: Subtract 4 from both sides

$-x + 4 - 4 = 9 - 4$
$-x = 5$

Step3: Multiply by -1 on both sides

$-x \times (-1) = 5 \times (-1)$

Answer:

1. $c = -6$
2. $b = -2$
3. $x = 5$
4. $x = -5$