Question

1. \\( 0.4x + 2.9 = 1.5 \\) 2) \\( \frac{v}{2.2} - 0.1 = 7.4 \\) 3) \\( 7 = \frac{a - 9.2}{3} \\) 4) \\( -1.3g + 1.9 = -11.1 \\)

Explanation:

Step1: Isolate term with x

$0.4x = 1.5 - 2.9$
$0.4x = -1.4$

Step2: Solve for x

$x = \frac{-1.4}{0.4}$
$x = -3.5$

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Step1: Isolate term with v

$\frac{v}{2.2} = 7.4 + 0.1$
$\frac{v}{2.2} = 7.5$

Step2: Solve for v

$v = 7.5 \times 2.2$
$v = 16.5$

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Step1: Eliminate denominator

$7 \times 3 = a - 9.2$
$21 = a - 9.2$

Step2: Solve for a

$a = 21 + 9.2$
$a = 30.2$

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Step1: Isolate term with g

$-1.3g = -11.1 - 1.9$
$-1.3g = -13$

Step2: Solve for g

$g = \frac{-13}{-1.3}$
$g = 10$

Answer:

1. $x = -3.5$
2. $v = 16.5$
3. $a = 30.2$
4. $g = 10$