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− 4/1 ​ a−4= 4/7 ​ a−3

Sagot :

The solution to the equation [tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex] is a = 3.125

The given equation is:

[tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex]

Cross multiply:

[tex]-4(7)(a-3) = 4(a-4)[/tex]

Divide both sides by 4

[tex]\frac{-4(7)(a-3)}{4} = \frac{4(a-4)}{4} \\-7(a-3) = a - 4[/tex]

Expand the bracket using the distributive rule

-7a + 21  =  a  -  4

Collect like terms

a  +  7a   =  21  +  4

Simplify the arithmetic

8a   =  25

Divide both sides by 8

[tex]\frac{8a}{8} = \frac{25}{8}\\a = \frac{25}{8}\\a = 3.125[/tex]

Learn more here: https://brainly.com/question/11852209

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