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What value of b will make the expressions −12.8x+b and −3.2(4x−2.1)+2.4 equivalent?

Sagot :

Solution:

Note that:

[tex]-12.8x+b = -3.2(4x-2.1)+2.4[/tex]

Simplifying the distributive property.

[tex]-12.8x+b = -3.2(4x-2.1)+2.4[/tex]

[tex]-12.8x+b = -12.8x + 6.72+2.4\\[/tex]

Simplifying the RHS.

[tex]-12.8x+b = -12.8x + 9.12[/tex]

Canceling out -12.8x.

[tex]b = 9.12[/tex]