Solving a System of Simultaneous Equations

Solving a System of Simultaneous Equations

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial explains how to solve simultaneous equations by manipulating them to have the same unknowns, either x or y. It emphasizes the importance of showing clear algebraic working to earn full marks. The process involves doubling one equation to match the y values, then adding or subtracting the equations to eliminate y and solve for x. Once x is found, it is substituted back into one of the original equations to find y. The tutorial concludes by explaining the marks allocation for each step.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to solve the simultaneous equations?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you manipulate the equations to make the unknowns the same?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the new equation after manipulating the first equation?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What operation do you perform to eliminate the y value?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of x after solving the equations?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the value of y after calculating x?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the final values of x and y?

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