Question

1. p = 9 + 10 + 5
2. 7 = y + c
3. y - 15 = c
4. 32×y = w
5. c = 6(y + k)
6. 8 = 5x - 2
7. -6 = \frac{x + 45}{8}
8. a - b + c = p
9. r = x - y
10. 3x - 5 = 7
11. p = 4 - 9 + r
12. \frac{3x + 4}{4}=2
13. -5 = 7+\frac{y}{2}

Explanation:

Step1: Solve equation 1

$P = 9 + 10+5=24$

Step2: Solve equation 2 for $y$

$y=7 - c$

Step3: Solve equation 3 for $y$

$y=c + 15$

Step4: Solve equation 4 for $W$ (assuming $x$ and $y$ are known)

$W = 32xy$

Step5: Expand equation 5

$C=6y+6K$

Step6: Solve equation 6 for $x$

$5x=8 + 2=10$, so $x = 2$

Step7: Solve equation 7 for $x$

$- 6\times(-8)=x + 45$, $48=x + 45$, $x=3$

Step8: Solve equation 8 for $A$

$A=P + B - C$

Step9: Solve equation 9 for $x$

$x=r + y$

Step10: Solve equation 10 for $x$

$3x=7 + 5=12$, $x = 4$

Step11: Solve equation 11 for $P$ (assuming $q$ and $r$ are known)

$P=4 - q+r$

Step12: Solve equation 12 for $x$

$3x+4=2\times4 = 8$, $3x=4$, $x=\frac{4}{3}$

Step13: Solve equation 13 for $y$

$\frac{y}{2}=-5 - 7=-12$, $y=-24$

Answer:

Equation 1: $P = 24$; Equation 2: $y=7 - c$; Equation 3: $y=c + 15$; Equation 4: $W = 32xy$; Equation 5: $C=6y+6K$; Equation 6: $x = 2$; Equation 7: $x=3$; Equation 8: $A=P + B - C$; Equation 9: $x=r + y$; Equation 10: $x = 4$; Equation 11: $P=4 - q+r$; Equation 12: $x=\frac{4}{3}$; Equation 13: $y=-24$