Answer:
x = 6
Step-by-step explanation:
Find the equation of the line
y = mx + b
Use the slope given 3 and the x of 4 and the y of 11 from the point given (4,11)
11 = 3(4) +b Solve for y
11 = 12 + b Subtract 12 from both sides
-1 = b
y = 3x -1 This is the equation of the line. Substitute in 17 for y and solve for x
17 = 3x -1 Add 1 to both sides
18 = 3x Divide both sides by 3
6 = x
Answer: 
Step-by-step explanation:
1) Reorder the terms: 
2) Solving: 
3) Add -34 to each side of the equation: 
4) Combine like terms: 34 + -34 = 0: 
5) Combine like terms: 47 + -34 = 13: 
6) Divide each side by -10: 
This is already in simplest form
Answer:
Her mistake is that she should plot the point (0, 5) first, not (1, -3)
Step-by-step explanation:
First I simplified the equation given.
y - 3 = 2 (x + 1)
y - 3 = 2x + 2
+3 +3
y = 2x + 5
Since 5 is our y-intercept we would want to graph that first, which would be (0, 5) as a point.
Hope this helps!
Answer:
It's -8
Step-by-step explanation:
DISTRIBUTE :
4x + 2( x - 2 ) = 4x + x - 12
4x + 2x - 4 = 4x + x - 12
COMBINE LIKE TERMS :
4x + 2x - 4 = 4x + x - 12
6x - 4 = 4x + x - 12
COMBINE LIKE TERMS :
6x - 4 = 4x + x - 12
6x - 4 = 5x - 12
ADD 4 TO BOTH SIDES :
6x - 4 = 5x - 12
6x - 4 + 4 = 5x - 12 + 4
ADD THE NUMBERS/ SIMPLIFY :
6x = 5x - 8
SUBTRACT 5x FROM BOTH SIDES :
6x = 5x - 8
6x - 5x = 5x - 8 - 5x
SIMPLIFY :
x = -8
