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Sagot :
Option C is correct (y + z = 6) ⋅ −3
What is a linear equation in math?
- A linear equation only has one or two variables.
- No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
- When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.
As per the statement -
A student is trying to solve the system of two equations given below:
Equation P: Â y + z = 6 Â Â Â Â Â Â Â ....[1]
Equation Q: Â 3y + 4z = 1 Â Â Â Â Â ....[2]
Multiply the equation [1] by -3 to both sides we have;
-3 .( y + z = 6 ) ⇒ -3y -3z = -18..........(3)
         Â
Add equation [2] and [3] to eliminate the y-term;
z = -17
Therefore, the  possible step used in eliminating the y-term is, (y + z = 6) ⋅ −3
Learn more about linear equation
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The complete question is -
A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 3y + 4z = 1 Which of these is a possible step used in eliminating the y-term?
(y + z = 6) â‹… 4
(3y + 4z = 1) â‹… 4
(y + z = 6) ⋅ −3
(3y + 4z = 1) â‹… 3
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