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QuestionSolve the equation y−1.7y+2.1=1.4(y+4.5)y - 1.7 y + 2.1 = 1.4(y + 4.5) and simplify to an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation. . The equation is in the form y−1.7y+.1=1.4(y+4.5)y -1.7y +.1 =1.4(y +4.5)3. We need to solve for y.

STEP 2

First, distribute the1.4 on the right side of the equation to both y and4.5.
y−1.7y+2.1=1.4y+1.4times4.5y -1.7y +2.1 =1.4y +1.4 \\times4.5

STEP 3

Calculate the multiplication on the right side of the equation.
y−1.7y+2.1=1.y+6.3y -1.7y +2.1 =1.y +6.3

STEP 4

Combine like terms on both sides of the equation.
y−1.7y=1.4y+6.3−2.1y -1.7y =1.4y +6.3 -2.1

STEP 5

implify the equation.
−0.7y=1.4y+4.2-0.7y =1.4y +4.2

STEP 6

To isolate y, we need to subtract1.4y from both sides of the equation.
−0.y−1.4y=4.2-0.y -1.4y =4.2

STEP 7

implify the equation.
−2.1y=4.2-2.1y =4.2

STEP 8

To solve for y, divide both sides of the equation by -2.1.
y=4.2−2.1y = \frac{4.2}{-2.1}

STEP 9

Calculate the value of y.
y=−2y = -2So, the solution to the equation is y = -2.

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