Answer:
Step-by-step explanation:
In ordered pairs (a,b) a is the x value and b is a y value.
if we have 3x+y=6
if x=0, y=6 --> (0,6)
if y=0, x=2 -->(2,0)
if x=3, y=-3--> (3, -3)
if x=6, y= -12 --->(6, -12)
if x=6, y= -9 ---> (5, -9)
Answer:
y = 7 - 2x/3
Step-by-step explanation:
Make the y alone, so 3y = -2x+21
Divide everything else by 3, so y = -2x/3 +7
You end with the answer of y= 7-2x+3
The slope of <em>y</em> = 2<em>x</em> - 5 is 2. Parallel lines have the same slope, so the slope of the line through the given points <em>A</em> and <em>B</em> is also 2. This means
(8 - 4) / (6 - <em>n</em>) = 2
Solve for <em>n</em> :
4 / (6 - <em>n</em>) = 2
4/2 = 6 - <em>n</em>
2 = 6 - <em>n</em>
<em>n</em> = 6 - 2
<em>n</em> = 4
Answer:
First one: x = all real numbers
Second one: x = 0
Step-by-step explanation:
for the first one
given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations
step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )
2 * 4x = 8x
5 * 2 = 10
now we have 8x + 10 = 8x + 10
step 2 subtract 8x from each side
8x - 8x = 0
8x - 8x = 0
now we have 10 = 10
subtract 10 from each side
10 - 10 = 0
10 - 10 = 0
we're left with 0 = 0 meaning that all real numbers are solutions
For the second one
given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations
step 1 distribute the 2 to what is in the parenthesis (x - 4)
2 *x = 2x
2 * -4 = -8
now we have 3x - 8 = 2x - 8
step 2 add 8 to each side
-8 + 8 = 0
-8 + 8 = 0
now we have 2x = 3x
step 3 subtract 2x from each side
3x - 2x = x
2x - 2x = 0
we're left with x = 0
Your answer would be 8 when you do all the calculations
