The equation is simplified to x = 3/2
<h3>What are linear equations?</h3>
Linear equations are equations with the highest power of a variable as 1
Given the equation;
1/ 2x = 5/ 4
cross multiply
4 × x = 2 × 5
4x = 10
Make 'x' the subject
x = 10/ 4
Reduce to simplest term
x = 3/ 2
Thus, the equation is simplified to x = 3/2
Learn more about linear equations here:
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Last week, Christopher drove 480 miles
This week, Christopher drove 360 miles
The difference in miles this week compared to last week = 480 - 360 = 120 miles.
The percentage of decrease in miles compared to last week's = (Difference in miles ÷ Total miles last week) multiplied by 100 = (120 ÷ 480) x 100 = 0.25 x 100 = 25%
Answer:
- No solution for x, when k = 1
- x = 68/(k - 1), when k≠ 1
Step-by-step explanation:
<u>Given the equation</u>
- kx – 17 = 51 + x, where k = 1,
<u>Solve for x:</u>
- 1*x - 17 = 51 + x
- x - 17 = x + 51
- x - x = 51 + 17
- 0 = 68,
Incorrect equation, no solution for x when k=1
<u>Solving for x when k ≠ 1</u>
- kx - 17 = 51 + x
- kx - x = 51 + 17
- x(k - 1) = 68
- x = 68/(k - 1)
Answer:
103/10
Step-by-step explanation: