[tex]\sf\purple{The\:value\:of\:z\:is\:-3.7.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]10.42 = - 2.6 \: z + 0.8 \\ \\✒ \: 2.6 \: z = 0.8 - 10.42\\ \\ ✒ \: 2.6 \: z = - 9.62 \\\\ ✒ \: z \: = \frac{ - 9.62}{2.6} [/tex]
To remove the decimals, we multiply both numerator and denominator by 100.
[tex]✒ \: z \: = \frac{ - 962}{260} \\ \\ ✒ \: z = - 3.7[/tex]
To verify:-
[tex]10.42 = - 2.6 \times ( - 3.7) + 0.8 \\ \\✒ \: 10.42 = 9.62 + 0.8 \\ \\✒ \: 10.42 = 10.42 \\\\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
