Question

A student is trying to solve the system of two equations given below:

Equation P: y + z = 6
Equation Q: 5y + 9z = 1

Which of the following is a possible step used in eliminating the y-term?

(y + z = 6) ⋅ 9
(y + z = 6) ⋅ −5
(5y + 9z = 1) ⋅ 9
(5y + 9z = 1) ⋅ 5

Answer 1

(y+z=6) * -5 is the best answer because when you add the two equations together the y will cancel and you will be left with z's in the equation.

Answer 2

The possible step that can be used in eliminating the y-term is (y + z = 6) ⋅ −5. Details about simultaneous equation can be found below.

What is a simultaneous equation?

A simultaneous equation in mathematics is a finite set of equations whose common solutions are sought.

According to this question, two equations P and Q were given as follows:

• Equation P: y + z = 6
• Equation Q: 5y + 9z = 1

To use the elimination method to solve these equations, we eliminate y variable by multiplying equation P with -5.

Therefore, the possible step that can be used in eliminating the y-term is (y + z = 6) ⋅ −5.

Learn more about simultaneous equation at: https://brainly.com/question/953809

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