math need help please

Question

The lines represented by the equations 9y−6x=−36 and 2y−3x=18 are

Answer 1

linearly independent equations and have a unique solution, which is the intersection of the 2 lines graphically.

multiply the 2nd by 2 and subtract from the 1st equation to get

5y=-72

y=-72/5 = -14.4

y= -14.4

x=(1/3)(2y-18)

x = (-28.8-18)/3

= (46.8)/3= -15.6

x=-15.6

(x,y) = (-14. 2/5, -15 3/5) is the intersection point of the two lines

check the solution

3y- 2x = 36

9(-14.4) -6(-15.6)

= -129.6 +93.6 = -36