Linear Equations with Rational Coefficients (Grade 8)

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Linear Equations with Rational Coefficients

1. 
Simplify. [math]-5x+2=4y+2x+18[/math]
  1. [math]y=3/4x-4[/math]
  2. [math]y=-3/4x+16[/math]
  3. [math]y=7/4x+16/4[/math]
  4. [math]y=-7/4x-4[/math]
2. 
Simplify. [math]-3x+2=-4y+3x+26[/math]
  1. [math]y=3/2x+6[/math]
  2. [math]y=3/2x+28[/math]
  3. [math]y=6/4x-6[/math]
  4. [math]y=-6/4x-4[/math]
3. 
Simplify. [math]2x+9y-2=y+8x+22[/math]
  1. [math]y=3/4x+3[/math]
  2. [math]y=3/4x+24[/math]
  3. [math]y=4/3x+3[/math]
  4. [math]y=4/3x+24[/math]
4. 
Simplify. [math]4y-2x+y=3y+8x+2[/math]
  1. [math]y=5x[/math]
  2. [math]y=10x+1[/math]
  3. [math]y=10x[/math]
  4. [math]y=5x+1[/math]
5. 
Simplify. [math]3y=4x-6[/math]
  1. [math]y=4/3x-6[/math]
  2. [math]y=-4/3x-2[/math]
  3. [math]y=4/3x-2[/math]
  4. [math]y=x-6[/math]
6. 
Simplify. [math]2x+4y-4=2y+4x+18[/math]
  1. [math]y=2x+14[/math]
  2. [math]y=2x+22[/math]
  3. [math]y=x+11[/math]
  4. [math]2y=2x+22[/math]
7. 
The equation [math](4y)/3+6=x+2[/math] is equivalent to
  1. [math]y=(4x)/3-3[/math]
  2. [math]y=(3x)/4-3[/math]
  3. [math]y=(3x)/4-12[/math]
  4. [math]y=12x-8/3[/math]
8. 
The equation [math]4y-16x-2=2x-11[/math] is equivalent to
  1. [math]y=9x-9[/math]
  2. [math]y=(-9x)/2-13/4[/math]
  3. [math]y=-18x-13[/math]
  4. [math]y=(9x)/2-9/4[/math]
9. 
The equation [math]2y-3=4x+2[/math] is equivalent to
  1. [math]y=2x+5/2[/math]
  2. [math]y=2x-5/2[/math]
  3. [math]y=4x+5[/math]
  4. [math]y=4x-1/2[/math]
10. 
The equation [math]4y-3x+2=5+y[/math] is equivalent to
  1. [math]y=(3x)/4+3[/math]
  2. [math]y=x+1[/math]
  3. [math]y=(3x)/4+3/4[/math]
  4. [math]y=-3x+5/3[/math]
11. 
The equation [math]-3y+8=2y-6x[/math] is equivalent to
  1. [math]y=(6x)/5+8[/math]
  2. [math]y=6x+5[/math]
  3. [math]y=(6x)/5+8/5[/math]
  4. [math]y=6x+8[/math]
12. 
The equation [math]1/2y+9x+5=12+3x[/math] is equivalent to
  1. [math]y=-3x+6[/math]
  2. [math]y=-6x+7[/math]
  3. [math]y=-3x+17[/math]
  4. [math]y=-12x+14[/math]
13. 
The equation [math]y+4/3=2x-4-2y[/math] is equivalent to
  1. [math]y=(2x)/3-12[/math]
  2. [math]y=(2x)/3-16/9[/math]
  3. [math]y=(2x)/3-16/3[/math]
  4. [math]y=(5x)/3+16/3[/math]
14. 
The equation [math]9y+6x-4=2y+12[/math] is equivalent to
  1. [math]y=(-6x)/7+16[/math]
  2. [math]y=-6x+16[/math]
  3. [math]y=-6x+8[/math]
  4. [math](-6x)/7+16/7[/math]
15. 
The equation [math]-6x+3y=7x-y+14[/math] is equivalent to
  1. [math]y=13x=7/2[/math]
  2. [math]y=(13x)/4+7/2[/math]
  3. [math]y=(13x)/4-7/2[/math]
  4. [math]y=-x/4+7/2[/math]

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