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What is the solution to the linear equation?

–12 + 3b – 1 = –5 – b

3x + 5y = -9
3x + 5y = 9
5x - 3y = -15
5x - 3y = 15

What is the solution to the linear equation? –12 + 3b – 1 = –5 – b 3x + 5y = -9 3x-example-1

1 Answer

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QUESTION 1

We want to solve the linear equation,

–12 + 3b – 1 = –5 – b

Group similar terms:

3b+b=-5+1+12

Combine similar terms,

4b=8

Divide both sides by 4

b=2.

QUESTION 2

We want to find the equation of the given line that passes through

(-3,2) and (2,-1)

The slope of this line is


m = ( - 1 - 2)/(2 - - 3) = - (3)/(5)

The equation is given by the formula:


y-y_1=m(x-x_1).

We plug in the known values to obtain;


y + 1= - (3)/(5) (x- 2)


y + 1= - (3)/(5) (x - 2)


5y + 5 = - 3x + 6


3x + 5y = 1

User Ivan Ishchenko
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