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31. 7.5x + 1.5y = 25.65 ( -7.5 ) / 6 ( -7.5 ) / (25.65 - 7.5) 1.5y = 25…

Question

  1. 7.5x + 1.5y = 25.65

( -7.5 ) / 6 ( -7.5 ) / (25.65 - 7.5)
1.5y = 25.65 - 7.5x
(1.5y)/1.5y = (25.65)/1.5 - (7.5x)/1.5
y = 17.1 - 5x - -5

Explanation:

Step1: Isolate the y-term

Subtract $7.5x$ from both sides:
$1.5y = 25.65 - 7.5x$

Step2: Solve for y by dividing

Divide all terms by $1.5$:
$y = \frac{25.65}{1.5} - \frac{7.5x}{1.5}$

Step3: Calculate each fraction

Simplify the numerical values:
$y = 17.1 - 5x$

Answer:

$y = 17.1 - 5x$