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Marat540 [252]
2 years ago
5

Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that woul

d be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.
Mathematics
1 answer:
Daniel [21]2 years ago
5 0
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
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Please help urgent!!
USPshnik [31]

Answer:

Q M \cong R M \Rightarrow definition of midpoint

\overline{P M} \cong \overline{P M} \Rightarrow Reflexive property of congruence

\Delta P Q M \cong \Delta P R M \Rightarrow SSS congruence postulate

\angle Q \cong \angle R \Rightarrow CPCTC theorem

Step-by-step explanation:

Step 1: Since, M is the midpoint of the line segment QR.  

\overline{Q M} \cong \overline{R M} \Rightarrow  definition of midpoint

Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.  

\overline{P M} \cong \overline{P M} \Rightarrow Reflexive property of congruence.

Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.

\Delta P Q M \cong \Delta P R M \Rightarrow  SSS congruence postulate

Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.

\angle Q \cong \angle R \Rightarrow CPCTC theorem.

3 0
3 years ago
If (-2,3), 3x-2ky+4=0 find the value of k
ipn [44]
Answer: k = -1/3

Step-by-Step Explanation:

=> 3x - 2ky + 4 = 0
Value of ‘x’ = -2
Value of ‘y’ = 3

Substitute values of ‘x’ and ‘y’ :-
=> 3x - 2ky + 4 = 0
= 3(-2) - 2k(3) + 4 = 0
= -6 - 6k + 4 = 0
= -6k = 6 - 4
= -6k = 2
= k = 2/-6
=> k = -2/6 = -1/3

Therefore, k = -1/3
8 0
2 years ago
Jamal is helping pack prize bags for the school carnival. He has 73 pencils to put into 16 bags. He wants to put the same number
valentina_108 [34]

Answer:

4

Step-by-step explanation:

I73/16 = 4.52

If he wants to put the same number in each bag, he would put 4 in each bag because the pencils cannot be cut into 0.52

3 0
3 years ago
Suppose your restaurant bill comes to $28.35 .Find your total cost if the tax is 6.25% and you leave a 20% tip on the amount bef
Anon25 [30]
Your total after tax is $30.12
A 20% tip is approximately $5.50 ($5.67)
3 0
3 years ago
Anyone wanna help thank you
vova2212 [387]

The First two coefficients are positive because they are on the positive side of the y-axis.

The Last two are on the negative side of the y-axis. B is the closest to zero as the wider the graph is, the lower the coefficient is.

The coefficient with the greatest value would be D

6 0
3 years ago
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