For Exercises 16 write each pair of lines in slopeintercept

For Exercises 1-6, write each pair of lines in slope-intercept form. Then exactly one point or if the lines are parallel or coinciding. 2x - y = 4 -2y = -4x + 8 x - 2y = 5 3x = 6y + 15 2x + 3y + 6 x - y = 5 x - y = -1 x + 2y = 4 2x = 1/2y + 2 4x - y = 13 4y = 3x 3x - 4y = 15 For Exercises 7-10, solve each system using the substitution method. (See Example 1) 3x + 2y = -3 y = 2x - 12 4x - 3y = -19 y = -2x + 13 x = -4y + 16 3x + 5y = 20 x = -y + 3 -2x + y = 6 Given the system: 4x - 2y = -6 3x + y = 8 Given the system: x - 5y = 2 11x + 13y = 22 Which variable from which equation is easiest to isolate and why? Which variable from which equation is easiest to isolate and why? Solve the system using the substitution method. Solve the system using the substitution method. For Exercises 13-48, solve the system by using the substitution method. For systems that do not have one unique solution, also state the number of solutions and whether the system is inconsistent or the equations are dependent. X = 3y - 1 2x - 4y = 2 2y = x + 9 y = -3x + 1 -2x + 5y = 5 x = 4y - 10 y = -2x + 27 3x - 7y = -2 4x - y = -1 2x + 4y = 13 5x - 3y = -2 10x - y = 1 4x - 3y = 11 x = 5 y = -3x - 9 y = 12 4x = 8y + 4 5x - 3y = 5 3y = 6x - 6 -3x + y = -4 x - 3y = -11 6x - y = 2 -2x - y = 9 x + 7y = 15 3x + 2y = -1 3/2x + y = 4 5x - 2y = 6 -5/2x + y = 5 10x - 30y = -10 2x - 6y = -2 3x + 6y = 6 -6x - 12y = -12

Solution

Answer 1:

Slope intercepts forms for given lines are y = 2x - 4 and y = 2x - 4, respectively.

Since equation of both lines is same, they are coinciding.

Answer 2:

Slope intercepts forms for given lines are y = (1/2) x - 5/2 and y = (1/2)x - 5/2, respectively.

Since equation of both lines is same, they are coinciding.

Answer 3:

Slope intercepts forms for given lines are y = (-2/3) x + 2 and y = x - 5, respectively.

Since slopes of the two lines are different. They will intersect in exactly one point.

Answer 4:

Slope intercepts forms for given lines are y = x +1 and y = (-1/2) x +2, respectively.

Since slopes of the two lines are different. They will intersect in exactly one point.

Answer 5:

Slope intercepts forms for given lines are y = 4x - 4 and y = 4x -13, respectively.

Since slopes of the two lines are same, but intercepts are different, they are parallel lines.

Answer 6:

Slope intercepts forms for given lines are y = (3/4) x and y = (3/4) x -15 , respectively.

Since slopes of the two lines are same, but intercepts are different, they are parallel lines.

Additionally, the line y = (3/4)x has intercept 0, which means it passes through the origin.