Answer:
x=-5
Step-by-step explanation:
opening the bracket on the LHS, we have
-8x-40= -3x+x-7-3
-8x-40= -2x-10
collecting like terms
-8x+2x= -10+40
-6x= 30
divide both sides by -6
x= -5
Answer:

Step-by-step explanation:
The given absolute value function is

This is the base or the parent function.
The transformation
will shift the parent function b units to the left and c units up.
From the question, b=4 units and c=2 units.
The new equation is 
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts
m =
=
= 3
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line
X+y=3
Subtract x from both sides
y=-x+3
Substitute
2x--x+3=6
2x+x+3=6
3x+3=6
Subtract 3 from both sides
3x=3
Divide both sides by 3
x=1