Question

1. \\(\frac{k}{3.5} + 7.4 = 8\\) 10) \\(-5.1 - z = 6.5\\)

Explanation:

Step1: Isolate the fraction term

Subtract 7.4 from both sides of $\frac{k}{3.5}+7.4=8$:
$\frac{k}{3.5}=8-7.4$
$\frac{k}{3.5}=0.6$

Step2: Solve for k

Multiply both sides by 3.5:
$k=0.6\times3.5$
$k=2.1$

Step3: Isolate the variable term

Add 5.1 to both sides of $-5.1-z=6.5$:
$-z=6.5+5.1$
$-z=11.6$

Step4: Solve for z

Multiply both sides by -1:
$z=-11.6$

Answer:

$k=2.1$
$z=-11.6$