7. Solve this equation for y: 7y=12x
(1 point)
Responses
y=12x+7
y is equal to 12 x plus 7
y=127x
y is equal to 12 sevenths x
y=712x
y is equal to 7 over 12 x
Question 2
8. Change the equation from standard form to slope-intercept form by solving for y.
8x−4y=24
Determine who changed the equation correctly:
Bob:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x−6
Bill:
Subtract 8x from both sides: −4y=16x
Divide by -4 on both sides: y=−4x
Bud:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x+24
(1 point)
Responses
Bob
Bob
Bill
Bill
Bud
Bud
Question 3
9. Solve 3x+2b=6c
for x.
Step 1: 3x+2b−2b=6c−2b
subtract 2b from both sides
Step 2: 3x=6c−2b
combine like terms/simplify
Step 3: 3x3=6c3−2b
divide by 3 on both sides to get x isolated
Step 4: x=2c−2b
simplify/final answer
Which statement is TRUE?
(1 point)
Responses
The process has an error. The correct answer is x=4bc3
The process has an error. The correct answer is x is equal to the fraction with numerator 4 b c and denominator 3
The process has an error. The correct answer is x=−4b−c
The process has an error. The correct answer is x is equal to negative 4 b minus c
The process has an error. The correct answer is x=2c−23b
The process has an error. The correct answer is x is equal to 2 c minus 2 thirds b
Skip to navigation
7. The correct answer is y = 12/7 x.
8. The correct answer is Bob.
9. The process has an error. The correct answer is x = (6c - 2b)/3.
Question 1:
7y=12x
To solve for y, divide both sides by 7:
y=(12x)/7
The final answer is y equal to 12x divided by 7.
Answer: y=(12x)/7
Question 2:
8x−4y=24
Bob:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x−6
Bill:
Subtract 8x from both sides: −4y=16x
Divide by -4 on both sides: y=−4x
Bud:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x+24
The person who changed the equation correctly is Bob.
Answer: Bob
Question 3:
3x+2b=6c
Step 1: 3x+2b−2b=6c−2b (subtract 2b from both sides)
Step 2: 3x=6c−2b (combine like terms/simplify)
Step 3: 3x/3=6c/3−2b/3 (divide by 3 on both sides to isolate x)
Step 4: x=2c−2/3b (simplify/final answer)
The process does not have an error. The correct answer is x=2c−2/3b.
Answer: The process does not have an error. The correct answer is x=2c−2/3b.
7. To solve the equation 7y = 12x for y, you need to isolate y on one side of the equation. Here's how you can do it:
Step 1: Divide both sides of the equation by 7: (7y)/7 = (12x)/7
Step 2: Simplify both sides of the equation: y = (12/7)x
So the correct answer is y = (12/7)x. This means that y is equal to the fraction 12/7 multiplied by x.
8. To change the equation from standard form to slope-intercept form (y = mx + b) by solving for y, you need to isolate y on one side of the equation. Let's see who changed the equation correctly:
Bob:
Subtract 8x from both sides: -4y = -8x + 24
Divide by -4 on both sides: y = 2x - 6
Bill:
Subtract 8x from both sides: -4y = 16x
Divide by -4 on both sides: y = -4x
Bud:
Subtract 8x from both sides: -4y = -8x + 24
Divide by -4 on both sides: y = 2x + 6
Out of the three options, Bob changed the equation correctly. So the correct answer is Bob.
9. To solve the equation 3x + 2b = 6c for x, you need to isolate x on one side of the equation. Let's go through the steps:
Step 1: Subtract 2b from both sides of the equation: 3x + 2b - 2b = 6c - 2b
Step 2: Simplify both sides of the equation: 3x = 6c - 2b
Step 3: Divide both sides of the equation by 3: (3x)/3 = (6c - 2b)/3
Step 4: Simplify both sides of the equation: x = (2c - 2b)/3
So the correct answer is x = (2c - 2b)/3, which means x is equal to the expression 2c - 2b divided by 3.