Solve a system of equations with a decimal as a solution ex 10, 10v +4t=13; -4t -7v=11

The video tutorial demonstrates how to solve a system of equations using the elimination method. It begins by explaining the importance of aligning variables with the same coefficients. The instructor then shows how to add or subtract equations to eliminate one variable, solve for the remaining variable, and substitute back to find the other variable. The process is illustrated with a specific example, ensuring clarity in each step.

What is the primary goal when using the elimination method to solve systems of equations?

• To graph the equations and find the intersection

• To convert the equations into slope-intercept form

• To make the coefficients of one variable the same in both equations

• To find the determinant of the matrix

Why is it important to align variables in the same columns when using elimination?

• To simplify the process of finding the slope

• To convert the system into a single equation

• To make it easier to add or subtract the equations

• To ensure the equations are in standard form

After aligning the equations, what is the next step in the elimination method?

• Multiply both equations by a common factor

• Add or subtract the equations to eliminate one variable

• Convert the equations to graph form

• Check the solution by substituting back into the original equations

What is the result of eliminating the variable T in the given system of equations?

• T equals 0

• V equals 8

• V equals 0

• T equals 8

What is the final value of T after solving the system using elimination?

• 16.75

• -16.75

• -8

• 8