Answer :
Sure! Let's solve the equation step-by-step.
Given equation:
[tex]\[ 96.2 + 1.5x = 98.5 + 0.8x \][/tex]
1. Subtract [tex]\(0.8x\)[/tex] from both sides to simplify the terms involving [tex]\(x\)[/tex]:
[tex]\[ 96.2 + 1.5x - 0.8x = 98.5 + 0.8x - 0.8x \][/tex]
[tex]\[ 96.2 + 0.7x = 98.5 \][/tex]
2. Move the constant term 96.2 to the other side by subtracting 96.2 from both sides:
[tex]\[ 96.2 + 0.7x - 96.2 = 98.5 - 96.2 \][/tex]
[tex]\[ 0.7x = 2.3 \][/tex]
3. Solve for [tex]\(x\)[/tex] by dividing both sides by 0.7:
[tex]\[ x = \frac{2.3}{0.7} \][/tex]
4. Calculate the division:
[tex]\[ x = 3.2857142857142856 \][/tex]
So, the solution to the equation [tex]\( 96.2 + 1.5x = 98.5 + 0.8x \)[/tex] is:
[tex]\[ x \approx 3.29 \][/tex] (rounded to two decimal places).
Given equation:
[tex]\[ 96.2 + 1.5x = 98.5 + 0.8x \][/tex]
1. Subtract [tex]\(0.8x\)[/tex] from both sides to simplify the terms involving [tex]\(x\)[/tex]:
[tex]\[ 96.2 + 1.5x - 0.8x = 98.5 + 0.8x - 0.8x \][/tex]
[tex]\[ 96.2 + 0.7x = 98.5 \][/tex]
2. Move the constant term 96.2 to the other side by subtracting 96.2 from both sides:
[tex]\[ 96.2 + 0.7x - 96.2 = 98.5 - 96.2 \][/tex]
[tex]\[ 0.7x = 2.3 \][/tex]
3. Solve for [tex]\(x\)[/tex] by dividing both sides by 0.7:
[tex]\[ x = \frac{2.3}{0.7} \][/tex]
4. Calculate the division:
[tex]\[ x = 3.2857142857142856 \][/tex]
So, the solution to the equation [tex]\( 96.2 + 1.5x = 98.5 + 0.8x \)[/tex] is:
[tex]\[ x \approx 3.29 \][/tex] (rounded to two decimal places).
