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Equations with Variables on Both Sides 3Equations with Variables on Both Sides 3
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Question 1 of 5
1. Question
Solve6y-4=7y+106y−4=7y+10- y=y= (-14)
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Get yy alone to the left side and all constants to the right.Start by moving 1010 to the other side by subtracting 1010 from both sides of the equation.66yy -4−4 == 77yy +10+10 66yy -4−4 -10−10 == 77yy +10+10 -10−10 66yy -14−14 == 77yy 10-1010−10 cancels out Next, move 6y6y to the other side by subtracting 6y6y from both sides of the equation.66yy -14−14 == 77yy 66yy -14−14 -6y−6y == 77yy -6y−6y -14−14 == yy 6y-6y6y−6y cancels out yy == -14−14 Check our workTo confirm our answer, substitute y=-14y=−14 to the original equation.6y-46y−4 == 7y+107y+10 6(-14)-46(−14)−4 == 7(-14)+107(−14)+10 Substitute y=-14y=−14 -84-4−84−4 == -98+10−98+10 -88−88 == -88−88 Since the equation is true, the answer is correct.y=-14y=−14 -
Question 2 of 5
2. Question
Solve12x-8=18x-512x−8=18x−5Write fractions as “a/b”- x=x= (-1/2)
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Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Get xx alone to the left side and all constants to the right.Start by moving -5−5 to the other side by adding 55 to both sides of the equation.1212xx -8−8 == 1818xx -5−5 1212xx -8−8 +5+5 == 1818xx -5−5 +5+5 1212xx -3−3 == 1818xx -5+5−5+5 cancels out Next, move 12x12x to the other side by subtracting 12x12x from both sides of the equation.1212xx -3−3 == 1818xx 1212xx -3−3 -12x−12x == 1818xx -12x−12x -3−3 == 66xx 12x-12x12x−12x cancels out Finally, remove 6 by dividing both sides of the equation by 6.-3 = 6x -3÷6 = 6x÷6 -12 = x 6÷6 cancels out x = -12 Check our workTo confirm our answer, substitute x=-12 to the original equation.12x-8 = 18x-5 12(-12)-8 = 18(-12)-5 Substitute x=-12 -6-8 = -9-5 -14 = -14 Since the equation is true, the answer is correct.x=-12 -
Question 3 of 5
3. Question
Solve2y+19=-5y+33- y= (2)
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Chapters- Chapters
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Get y alone to the left side and all constants to the right.Start by moving 19 to the other side by subtracting 19 from both sides of the equation.2y +19 = -5y +33 2y +19 -19 = -5y +33 -19 2y = -5y +14 19-19 cancels out Next, move -5y to the other side by adding 5y to both sides of the equation.2y = -5y +14 2y +5y = -5y +14 +5y 7y = 14 -5y+5y cancels out Finally, remove 7 by dividing both sides of the equation by 7.7y = 14 7y÷7 = 14÷7 y = 2 7÷7 cancels out Check our workTo confirm our answer, substitute y=2 to the original equation.2y+19 = -5y+33 2(2)+19 = -5(2)+33 Substitute y=2 4+19 = -10+33 23 = 23 Since the equation is true, the answer is correct.y=2 -
Question 4 of 5
4. Question
Solve6-3r=8-r- r= (-1)
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Chapters- Chapters
Inverse Operations
When moving a term to the other side of an equation, the operation is inversed.Get r alone to the left side and all constants to the right.Start by moving 6 to the other side by subtracting 6 from both sides of the equation.6-3r = 8-r 6-3r -6 = 8-r -6 -3r = 2-r 6-6 cancels out Next, move -r to the other side by adding r to both sides of the equation.-3r = 2-r -3r +r = 2-r +r -2r = 2 -r+r cancels out Finally, remove -2 by dividing both sides of the equation by -2.-2r = 2 -2r÷-2 = 2÷-2 r = -1 -2÷-2 cancels out Check our workTo confirm our answer, substitute r=-1 to the original equation.6-3r = 8-r 6-3(-1) = 8-(-1) Substitute r=-1 6+3 = 8+1 9 = 9 Since the equation is true, the answer is correct.r=-1 -
Question 5 of 5
5. Question
Solve for a8a-7=5a-4- a= (1)
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To solve for a, get a by itselfSubtract 5a from both sides of the equation8a-7 -5a = 5a-4 -5a 8a-7 -5a = 5a-4 -5a 5a-5a cancels out 3a-7 = -4 Next, add 7 to both sides of the equation3a-7 +7 = -4 +7 3a-7 +7 = -4 +7 -7+7 cancels out 3a = 3 Finally, divide both sides of the equation by 33a÷3 = 3÷3 3a÷3 = 3÷3 ×3÷3 cancels out a = 1 a=1
Quizzes
- One Step Equations – Add and Subtract 1
- One Step Equations – Add and Subtract 2
- One Step Equations – Add and Subtract 3
- One Step Equations – Add and Subtract 4
- One Step Equations – Multiply and Divide 1
- One Step Equations – Multiply and Divide 2
- One Step Equations – Multiply and Divide 3
- One Step Equations – Multiply and Divide 4
- Two Step Equations 1
- Two Step Equations 2
- Two Step Equations 3
- Two Step Equations 4
- Multi-Step Equations 1
- Multi-Step Equations 2
- Solve Equations using the Distributive Property 1
- Solve Equations using the Distributive Property 2
- Solve Equations using the Distributive Property 3
- Equations with Variables on Both Sides 1
- Equations with Variables on Both Sides 2
- Equations with Variables on Both Sides 3
- Equations with Variables on Both Sides (Fractions) 1
- Equations with Variables on Both Sides (Fractions) 2
- Solve Equations – Variables on Both Sides (Distributive Property) 1
- Solve Equations – Variables on Both Sides (Distributive Property) 2
- Solve Equations – Variables on Both Sides (Distributive Property) 3
- Solve Equations – Variables on Both Sides (Distributive Property) 4
- Writing Equations 1
- Writing Equations 2
- Writing Equations 3
- Writing Equations 4
- Equation Word Problems (Age) 1
- Equation Word Problems (Money) 1
- Equation Word Problems (Harder) 1
- Equation Problems with Substitution 1
- Equation Problems (Geometry) 1
- Equation Problems (Geometry) 2
- Equation Problems (Perimeter)
- Equation Problems (Area)
- Solve for a Variable or Formula 1
- Solve for a Variable or Formula 2
- Solve for a Variable or Formula 3