Question

for problems 7-12, write whether the given value is or is not a solution for the equation. 7. $9x = 45, x = 5$ 5 ____ a solution. 8. $k - 6 = 8, k = 2$ 2 __ a solution. 9. $n + 12 = 20, n = 32$ 32 __ a solution. 10. $\frac{r}{5} = 25, r = 125$ 125 __ a solution. 11. $\frac{16}{a} = \frac{1}{2}, a = 8$ 8 __ a solution. 12. $24x = 6, x = \frac{1}{4}$ $\frac{1}{4}$ ____ a solution. module 11 • lesson 1

Explanation:

Step1: Substitute x=5 into 9x=45

$9(5)=45$
$45=45$

Step2: Substitute k=2 into k-6=8

$2-6=8$
$-4≠8$

Step3: Substitute n=32 into n+12=20

$32+12=20$
$44≠20$

Step4: Substitute r=125 into $\frac{r}{5}=25$

$\frac{125}{5}=25$
$25=25$

Step5: Substitute a=8 into $\frac{16}{a}=\frac{1}{2}$

$\frac{16}{8}=\frac{1}{2}$
$2≠\frac{1}{2}$

Step6: Substitute x=$\frac{1}{4}$ into 24x=6

$24(\frac{1}{4})=6$
$6=6$

Answer:

1. 5 is a solution.
2. 2 is not a solution.
3. 32 is not a solution.
4. 125 is a solution.
5. 8 is not a solution.
6. $\frac{1}{4}$ is a solution.