10. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is i

Question

3 years ago

9

10. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is i

ncorrect (if any).
Original Equation: 30x = 23(1 + 3) + 12x + 22

Solution:
11. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is incorrect (if any).

Original Equation: 15x + 12 – 8x = -3 + 7x - 7

Solution:

Mathematics

1 answer:

navik [9.2K] · Answer 1 · 2022-07-30T20:07:30+03:00

Question 10: x = 114/18 or 6.3

Question 11: No solution

Step-by-step explanation:

Since the solution is not given, I will solve the problem and you can match the solution.

Question 10:

$Original\,\,Equation: 30x = 23(1 + 3) + 12x + 22$

Solution:

$30x = 23(1 + 3) + 12x + 22\\30x=23+69+12x+22\\Combining\,\,like\,\,terms:\\30x=12x+23+69+22\\30x=12x+114\\30x-12x=114\\18x=114\\x=\frac{114}{18}\\x=6.3$

Question 11:

$Original\,\,Equation: 15x + 12-8x = -3 + 7x - 7$

Solution:

$15x + 12-8x = -3 + 7x - 7\\Combining\,\,like\,\,terms:\\15x-8x+12=+7x-3-7\\7x+12=7x-10\\7x-7x=-10-12\\0=-22\\$

The sides are not equal. So, there is no solution.

Keywords: Solving Polynomials

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