Question

What is z
10.42= −2.6z+0.8

Answer 1

`\sf\purple{The\:value\:of\:z\:is\:-3.7.}` ✅

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}`

`10.42 = - 2.6 \: z + 0.8 \\ \\✒ \: 2.6 \: z = 0.8 - 10.42\\ \\ ✒ \: 2.6 \: z = - 9.62 \\\\ ✒ \: z \: = ( - 9.62)/(2.6)`

To remove the decimals, we multiply both numerator and denominator by 100.

`✒ \: z \: = ( - 962)/(260) \\ \\ ✒ \: z = - 3.7`

To verify:-

`10.42 = - 2.6 * ( - 3.7) + 0.8 \\ \\✒ \: 10.42 = 9.62 + 0.8 \\ \\✒ \: 10.42 = 10.42 \\\\ ✒ \: L.H.S.=R. H. S`

Hence verified.

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Answer 2

-3.7 =z

Explanation:

10.42= −2.6z+0.8

Subtract .8 from each side

10.42-.8= −2.6z+0.8-.8

9.62= −2.6z

Divide each side by -2.6

9.62 / -2.6 = -2.6z/-2.6

-3.7 =z