Determine the solution, if it exists, for each system of linear equations step by step. a.

(3x + 2y = 6
(13x + 2y = 3

b.

(6x+2y = 8
(3x - y = -2

A. x = -3/10 , y = 69/20

B. x = 1/2 , y = 5/2

Step-by-step explanation:

A]

3x + 2y = 6eq1

13x + 2y = 3eq2

From eq 2 - eq 1

10x = -3

x = -3/10

So,

3x + 2y = 6

3(-3/10) + 2y = 6

y = 69/20

B]

6x+2y = 8eq1

3x - y = -2eq2

eq2 x 2 and add in 1

12x = 6

x = 1/2

So,

6x+2y = 8

y = 5/2

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.