Solve the following equations.
1. 8x-3/3x=2
2. 9x/7-6x=15
3. z/z+15=4/9
4. 3y+4/2-6y= -2/5
5. 7y+4/y+2= -4/3
Answers
Answer:
1) 8x - 3/ 3x = 2
8x - 3 = 3x × 2
8x - 3 = 6x
8x - 6x = 3
2x = 3
x = 3/2
2) 9x / 7 - 6x = 15
9x = 15 ×( 7 - 6x)
9x = 105 - 90x
9x + 90 x = 105
99x = 105
x = 105/99
x = 35/33
3) z/z + 15 = 4/9
9( z) = 4( z+ 15)
9z = 4z + 60
9z - 4z = 60
5z = 60
z = 60/5
z = 12
4) 3y + 4/2 - 6y = (-2)/5
3y - 6y = (-2)/5 - 4/2
(-3y) = (-2)/5× 2/2- 4/2 ×5/5
(-3y) = (-4)/10 -20/10
(-3y) = (-4-20)/10
(-3y) = (-24)/20
(-3y)= (-12)/10
(-3y)= (-6)/5
y = (-6)/5 ×(-3)
y = 18/5
5) 7y + 4 / y + 2 = (-4)/3
3 ( 7y + 4) = (-4)( y+ 2)
21y + 12 = (-4y - 8)
21y + 4y = (-8)(-12)
25y = (-20)
y = (-20)/25
y = (-4)/5