Question

Please help --> 0.42b - 8.3 + 9.14b = -5.91 Show your work please!!!

Answer 1

0.25

Explanation:

group like terms: 0.42b+9.14b-8.3=-5.91

add similar elements: 9.56b-8.3=-5.91

multiply both sides by 100: 956b-830=-591

add 830 to both sides: 956b-830+830=-591+830

simplify: 956b=239

divide each side by 956: you know what that looks like

simplify: b=1/4

convert to decimal: 0.25

Answer 2

b = 0.25

Explanation:

Given:

`\sf 0.42b - 8.3 + 9.14b = -5.91`

Collect like terms:

`\implies\sf 0.42b+ 9.14b - 8.3 = -5.91`

Combine like terms:

`\implies \sf 9.56b - 8.3 = -5.91`

Add 8.3 to both sides:

`\implies \sf 9.56b - 8.3+8.3 = -5.91+8.3`

`\implies \sf 9.56b=2.39`

Multiply both sides by 100:

`\implies \sf 9.56b * 100=2.39 * 100`

`\implies \sf 956b=239`

Divide both sides by 956:

`\implies \sf (956b)/(956)=(239)/(956)`

`\implies \sf b=(239)/(956)`

Write 956 as 4 × 239:

`\implies \sf b=(1 * 239)/(4 * 239)`

Cancel the common factor 239:

`\implies \sf b=(1)/(4)`

`\implies \sf b=0.25`