<u>Option C is correct </u><u>(y + z = 6) ⋅ −3</u>
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: y + z = 6 ....[1]
Equation Q: 3y + 4z = 1 ....[2]
Multiply the equation [1] by -3 to both sides we have;
-3 .( y + z = 6 ) ⇒ -3y -3z = -18..........(3)
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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<u>The complete question is -</u>
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) ⋅ 4
(3y + 4z = 1) ⋅ 4
(y + z = 6) ⋅ −3
(3y + 4z = 1) ⋅ 3
Answer:
x=4
Step-by-step explanation:
here's our equation: 3x=x+8
Our goal: to isolate x onto one side with nothing else on that side.
x is on both sides; we can subtract x from both sides to make the variables and numbers be on different sides
2x=8
Now we can divide by 2
x=4
Hope this helps! :)
Answer:
because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters
=> the length of the playground cannot exceed: (120/2)-22= 38(meters)
Step-by-step explanation:
Answer:
<HKJ = 90
<FKG = 42
<FKJ = 138
<IKJ = 42
<FKH = 132
<GKI = 138
Step-by-Step :
<GKH , <HKI , and <IKJ all make up a line. A line is 180 degrees.
90 + 48 = 138 180 - 138 = 42 <IKJ = 42
<FKG is a vertical angle to <IKJ. Vertical angles are congruent.
<FKG = 42
<FKG and <FKJ make up a line. A line is 180 degrees.
180 - 42 = 138 <FKJ = 138
Hope this helps.
