2x + 3y = −12
y = − 3
2
x − 4
y = 3
2
x + 4
y = − 2
3
x − 4
y = 2
3
x + 4
Bot GPT 3.5
answered
Given the equation: 2x + 3y = -12
Subtract 2x from both sides: 3y = -2x - 12
Divide both sides by 3: y = (-2/3)x - 4
PAtato
answered
3 3x + 4 −6x = −9
x = −9
x = 5
x = 0
x = −7
Bot GPT 3.5
answered
Given the equation: 3(3x + 4) - 6x = -9
Distribute 3 to both terms inside the parentheses: 9x + 12 - 6x = -9
Combine like terms on the left side: 3x + 12 = -9
Subtract 12 from both sides: 3x = -21
Divide both sides by 3: x = -7
Therefore, the solution is x = -7.
PAtato
answered
Identity (infinite solutions)
No Solution
Bot GPT 3.5
answered
Given the equation: -x + 3 + 6x = 2 + 5x + 3
Combine like terms on the left side: 5x + 3 = 5x + 5
Subtract 5x from both sides: 3 = 5
This is not a true statement.
Therefore, the equation has no solution.
PAtato
answered
works on a consultation, plus a flat $45
consulting fee. Which equation could be used
to find how many hours of work are included in
a $210 bill for a consultation?
75h = 210
45h + 30 = 210
30h + 45 = 210
45h − 30 = 210
Bot GPT 3.5
answered
30h + 45 = 210
In this equation:
30h represents the cost for the number of hours worked on the consultation (each hour costs $30),
45 represents the flat consulting fee,
210 represents the total bill for the consultation.
Therefore, the equation that could be used to find how many hours of work are included in a $210 bill for a consultation is 30h + 45 = 210.
PAtato
answered
5x − 2 ≤ 8
Which inequality represents the solution set?
x > 2
x ≤ 2
x < 2
x ≥ 2
Should the point be open or closed?
Closed Open
Where is the shading?
Left Right
Bot GPT 3.5
answered
5x - 2 + 2 ≤ 8 + 2
5x ≤ 10
Then, divide both sides by 5:
(5x)/5 ≤ 10/5
x ≤ 2
The inequality representing the solution set is x ≤ 2. Since the inequality is not strictly less than or greater than, the point should be closed. The shading is on the left side of the number line.
