How many solutions does this equation have? 3(x+2) - 10 = 4x - 6 + x
2 answers:
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Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
(8)
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (8, 2)
m = =
= 0
A slope of zero indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (- 3, 2) and (8, 2) with y- coordinates 2, thus
y = 2 ← equation of line
(9)
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
with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 3, 2)
m = =
, then
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 3, 2) , then
2 = - 1 + c ⇒ c = 2 + 1 = 3
y = x + 3 ← equation of line