Algebraic Solution - Examples, Exercises and Solutions

Solve the following system of equations:

$\begin{cases} x-y=5 \\ 2x-3y=8 \end{cases}$

$x=2,y=-3$

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

$(I)-5x+4y=3$

$(II)6x-8y=10$

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

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

$(I)-2x+3y=4$

$(II)x-4y=8$

$x=-8,y=-4$

Solve the following equations:

$(I)2x+y=9$

$(II)x=5$

$x=5,y=-1$

Solve the following equations:

$(I)x+y=18$

$(II)y=13$

$x=5,y=13$

Solve the following system of equations:

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

$x=1.32,y=2.8$

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

$(I)7x-4y=8$

$(II)x+5y=12.8$

$x=2.33,y=2.09$

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

$(I)-8x+3y=7$

$(II)24x+y=3$

$x=0.025,y=2.4$

Find the value of x and and band the substitution method.

$(I)-x-2and=4$

$(II)3x+and=8$

$x=4,y=-4$

Find the value of x and and band the substitution method.

$(I)x+and=5$

$(II)2x-3and=-15$

$x=0,y=5$

Solve the following system of equations:

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

$x=7.38,y=-16.14$

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

$(I)\frac{1}{3}x-4y=5$

$(II)x+6y=9$

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

Find the value of x and and band the substitution method.

$(I)-5x+9and=18$

$(II)x+8and=16$

$x=0,y=2$

Find the value of x and and band the substitution method.

$(I)-x+3and=12$

$(II)4x+2and=10$

$x=\frac{3}{7},y=\frac{29}{7}$

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

$(I)\frac{1}{2}x+\frac{7}{2}y=10$

$(II)-3x+7y=12$

$x=2,y=2.57$