Algebraic Solution: Solving an equation by adding/subtracting from both sides

Examples with solutions for Algebraic Solution: Solving an equation by adding/subtracting from both sides

Exercise #1

Solve the above set of equations and choose the correct answer.

{2x+3y=4x4y=8 \begin{cases} -2x+3y=4 \\ x-4y=8 \end{cases}

Video Solution

Answer

x=8,y=4 x=-8,y=-4

Exercise #2

Solve the above set of equations and choose the correct answer.

{5x+4y=36x8y=10 \begin{cases} -5x+4y=3 \\ 6x-8y=10 \end{cases}

Video Solution

Answer

x=4,y=414 x=-4,y=-4\frac{1}{4}

Exercise #3

Solve the following system of equations:

{xy=52x3y=8 \begin{cases} x-y=5 \\ 2x-3y=8 \end{cases}

Video Solution

Answer

x=7,y=2 x=7,y=2

Exercise #4

Solve the above set of equations and choose the correct answer.

{8x+3y=724x+y=3 \begin{cases} -8x+3y=7 \\ 24x+y=3 \end{cases}

Video Solution

Answer

x=0.025,y=2.4 x=0.025,y=2.4

Exercise #5

Solve the above set of equations and choose the correct answer.

{7x4y=8x+5y=12.8 \begin{cases} 7x-4y=8 \\ x+5y=12.8 \end{cases}

Video Solution

Answer

x=2.33,y=2.09 x=2.33,y=2.09

Exercise #6

Solve the following system of equations:

{8x+5y=310x+y=16 \begin{cases} -8x+5y=3 \\ 10x+y=16 \end{cases}

Video Solution

Answer

x=1.32,y=2.8 x=1.32,y=2.8

Exercise #7

Solve the above set of equations and choose the correct answer.

{13x4y=5x+6y=9 \begin{cases} \frac{1}{3}x-4y=5 \\ x+6y=9 \end{cases}

Video Solution

Answer

x=11,y=13 x=11,y=-\frac{1}{3}

Exercise #8

Solve the following system of equations:

{2x15y=183x+y=6 \begin{cases} 2x-\frac{1}{5}y=18 \\ 3x+y=6 \end{cases}

Video Solution

Answer

x=7.38,y=16.14 x=7.38,y=-16.14

Exercise #9

Solve the above set of equations and choose the correct answer.

{y+25x=1312y+2x=10 \begin{cases} -y+\frac{2}{5}x=13 \\ \frac{1}{2}y+2x=10 \end{cases}

Video Solution

Answer

x=7.5,y=10 x=7.5,y=-10

Exercise #10

Solve the above set of equations and choose the correct answer.

{12x+72y=103x+7y=12 \begin{cases} \frac{1}{2}x+\frac{7}{2}y=10 \\ -3x+7y=12 \end{cases}

Video Solution

Answer

x=2,y=2.57 x=2,y=2.57