brennbee
Answered

A student is trying to solve the system of two equations given below:
Equation P: y + z = 6
Equation Q: 5y + 92 = 1
Which of the following is a possible step used in eliminating the y-term?

Please help, i’ll give you brainliest :)

A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 5y + 92 = 1 Which of the following is a possible step us class=

Answer :

mhanifa

Answer:

  • B) (y + z = 6) · (- 5)

Step-by-step explanation:

Given system:

  • Equation P: y + z = 6
  • Equation Q: 5y + 92 = 1

The task is to eliminate the y-term and solve for z-term.

To do so you need the coefficients of the y-terms be opposite numbers.

We can see one of the coefficients is 1 and the other is 5.

The required step would be to multiply the Equation P by - 5 and the next step would be to add up this with the Equation Q. This would cancel the y-terms.

Let's verify which answer choice matches our solution:

  • This is option B, all the rest are incorrect.

igoroleshko156

Hi Student!

In this problem statement, we are given two equations and we are told that a student is trying to solve the system of two equations.  We are then asked which is a possible step that can be used to eliminate the y-term.  What this means is that we want to do something that would give us a constant that would cancel out with the constant in the other equation.

The two expressions that are provided are [tex]y + z = 6[/tex] and [tex]5y + 9z = 1[/tex].  

Looking at the first option that is provided, we can see that they are multiplying the first expression by 9 which wouldn't work because the second expression has a constant of 5 causing them having the inability to cancel out.

Looking at the second option that is provided, we can see that they are multiplying the first expression again but this time by -5.  This would work because we would be getting a constant of -5 with the variable y in the first expression but a constant of 5 with the variable of y in the second expression.  Therefore they will cancel.

The third and fourth options wouldn't work either because they are making the numbers too large and they won't be able to cancel out with the other expression.

Therefore, the only option that fits the description and purpose of our problem statement is option B, [tex](y+z=6)*-5[/tex]

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