6x - 9y = 1
9x + 6y = 4
Step: Solve 6x−9y = 1 for x:
6x − 9y + 9y = 1 + 9y (Add 9y to both sides)
6x = 9y + 1
6x/6=(9y+1)/6(Divide both sides by 6)
x=3/2y+1/6
Step: Substitute 3/2y +16 for x in 9x + 6y=4:
9x + 6y = 4
9(3/2y + 16) + 6y = 4
39/2y + 3/2 = 4(Simplify both sides of the equation)
39/2y + 3/2 + (−3/2) = 4 + (−3/2) (Add (-3)/2 to both sides)
39/2y = 5/2
(39/2y) / (39/2) = (5/2) / (39/2) (Divide both sides by 39/2)
y = 53/9
Step: Substitute 53/9 for y in x= 32y+16:
x = 32y+16
x = 32(53/9) +16
x = 14/39(Simplify both sides of the equation)
So therefore, the solution set for the two equations are:
(14/39, 5/39)
if you want in decimal form:
(0.358, 0.128)
