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solve the equation -8y + 8 = 37y - 7

Sagot :

you must first get the variables on the same side of the equal sign. It yields,

[tex]-8y-37y+8=-7[/tex]

if we also pass the constant 8 to the right hand side, we have

[tex]-8y-37y=-7-8[/tex]

Hence, the left and right hand sides are equal to

[tex]-45y=-15[/tex]

hence, we have

[tex]y=\frac{-15}{-45}[/tex]

since minus times minus is plus, we obtain

[tex]y=\frac{15}{45}[/tex]

and it can be reduced to

[tex]\begin{gathered} y=\frac{15}{15\cdot3} \\ y=\frac{1}{3} \end{gathered}[/tex]

Finally, the answer is

[tex]y=\frac{1}{3}[/tex]

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