Answer:
There are an infinite number of solutions.
Step-by-step explanation:
An equation with 2 unknowns give an infinite amount of solutions, here is just one of the many:
Let y= 3 ( y can be any number)
(3) + 1 = -4x
4 = -4x
x = -4/4
x= -1
(x;y) = (-1;3)
Generally x and y can be any number, just let x or y be any number, then find the other variable based on the value of the number u assumed.
Answer:
m = 2/3
y-intercept: 2
Explanation:
First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.
This equation should be in the form: Ax + By = C (Standard form)
y = -Ax/B + C/B : y = mx + b (Slope intercept form)
2(6y - 4x) = 24 → 12y - 8x = 24
→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>
<u>8</u>x <u>- 12</u>y = <u>-24</u>
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A B C
Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.
8x - 12y = -24
-8x -8x
(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)
-12y = -8x - 24
×-1 ×-1 ×-1
(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)
12y = 8x + 24
(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)
No because 3 can go into 63 evenly and the denominator would be left the same.
Answer:
b = -2 2/3
Step-by-step explanation:
Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 5 from both sides:
-3b + 5 (-5) = 13 (-5)
-3b = 13 - 5
-3b = 8
Next, divide -3 from both sides:
(-3b)/-3 = (8)/-3
b = -8/3
b = -2 2/3
~
1/2 - 3/8 = 4/8 - 3/8 = 1/8
you have to find a common denominator before you can subtract. in this case it is 8
