/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q, 363 In the following exercise, solve... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In the following exercise, solve each equation with decimal coefficients.

1.2x-0.91=0.8x+2.29

Short Answer

Expert verified

Thesolutionforthegivenequationisx=8

Step by step solution

01

Step 1. Given information

The given equation is1.2x-0.91=0.8x+2.29

We have to solve the given equation.

02

Step 2. Explanation

Solve:1.2x-0.91=0.8x+2.29⇒100×(1.2x-0.91)=100×(0.8x+2.29)(MultiplyebyLCD,100)⇒100×(1.2x)-100×(0.91)=100×(0.8x)+100×(2.29)(Distribute)⇒120x-91=80x+229(Multiply)⇒120x-80x-91=80x-80x+229(Subtract80xfrombothsides)⇒40x-91=229(Simplify)⇒40x-91+91=229+91(Add91tobothsides)⇒40x=320(Simplify)⇒40x40=32040(Dividebothsideby40)⇒x=8(Simplify)Thesolutionforthegivenequationisx=8

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