Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ 7(y+3) – 2(x+2) = 14, \\ 4(y-2) + 3(x-3) = 2 \] Solution Step 1: Simplify Both Equations First equation: \[ 7(y+3) – 2(x+2) = 14 \] \[ 7y + 21 – 2x – 4 = […]

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{x}{2} + y = 0.8, \\ \frac{7}{x + \frac{y}{2}} = 10 \] Solution Step 1: Remove Fractions From the first equation: \[ \frac{x}{2} + y = 0.8 \] Multiply both sides by 10: \[ 5x +

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations by the substitution method: \[ 0.4x + 0.3y = 1.7, \\ 0.7x – 0.2y = 0.8 \] Solution Step 1: Remove Decimals Multiply both equations by 10: \[ 4x + 3y = 17 \quad \text{(1)} \] \[

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations by the substitution method: \[ 3x – 7y + 10 = 0, \\ y – 2x – 3 = 0 \] Solution Step 1: Write the Equations in Standard Form \[ 3x – 7y = -10 \quad

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations by the substitution method: \[ 11x + 15y + 23 = 0 \\ , 7x – 2y – 20 = 0 \] Solution Step 1: Write the Equations in Standard Form \[ 11x + 15y = -23

Graphical Solution and Area of Triangles with the X-Axis Video Explanation Question Draw the graphs of the pair of linear equations: \[ x – y + 2 = 0 \] \[ 4x – y – 4 = 0 \] Calculate the area of the triangles formed by the lines so drawn and the x-axis. Solution

Graph of Lines and Area of the Figure Formed Video Explanation Question Draw the graphs of the lines \(x = -2\) and \(y = 3\). Write the vertices of the figure formed by these lines, the x-axis and y-axis. Also, find the area of the figure. Solution Step 1: Description of the Given Lines The

Graph of Linear Equations and Area of the Quadrilateral Video Explanation Question Draw the graph of the equations: \[ x = 3 \] \[ x = 5 \] \[ 2x – y – 4 = 0 \] Also find the area of the quadrilateral formed by these lines and the x-axis. Solution Step 1: Write

Graphical Determination of the Vertices of a Triangle Video Explanation Question Determine graphically the vertices of the triangle formed by the lines: \[ y = x \] \[ 3y = x \] \[ x + y = 8 \] Solution Step 1: Write the Equations in Convenient Form Equation (1): \(y = x\) Equation (2):

Graphical Solution and Ratio of Areas of Triangles Video Explanation Question Graphically solve the following pair of equations: \[ 2x + y = 6 \] \[ 2x – y + 2 = 0 \] Find the ratio of the areas of the two triangles formed by the lines representing these equations with the x-axis and