A system of equations is shown below: 5x + 2y = 3 (equation 1) 2x − 3y = 1 (equation 2) A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?
Answers
The new system of equations the student can use for the proof is:
7x - y = 4
2x - 3y = 1
What is the Solution to a System of Equations
The solution is simply the value of x and y that makes both equations true in the system.
Given:
5x + 2y = 3 --> eqn. 1
2x - 3y = 1 --> eqn. 2
Replacing equation 1 with the sum of eqn. 1 and a multiple of eqn. 2, we would have:
7x - y = 4
Therefore, the new system of equations the student can use for the proof is:
7x - y = 4
2x - 3y = 1
Learn more about the system of equations on:
Answer:
Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.
Step-by-step explanation:
Given System of equations is 5x + 2y = 3 (equation 1) and 2x - 3y = 1 (equation 2)
Second System of equations is 2x - 3y = 1 and 7x - y = 4
How we got 7x - y = 4
Step 1: Multiply 2x - 3y = 1 by 1, we get the same 2x - 3y = 1
Step 2: Add 5x + 2y = 3 with 2x - 3y = 1
5x + 2x + 2y - 3y = 1
7x - 3y = 1
We have got second equation 7x - 3y = 1
Thus, Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.
Related Questions
A pair of work boots was displayed in shoe store with the price tag of $60 no one seemed interested in buying them the store manager decided to reduce the price of the by 10% still known purchased the boots the manager thought if the boots won’t sell at 10% off I might as well raise the price again so we raise the price by 10% what was the cost of not including any tax price adjust
What is the minimum number of data points needed to use matrices to find an equation for a circle in the form 0=x^2+y^2+Dx+Ey+F0 = x 2 + y 2 + D x + E y + F?
Give me Colonel Sanders' Kentucky Fried Chicken.
if the sum of a number and two is doubled, the result is six less than three times the number. find the number. help me solve this, not great at math especially word problems thank you.
What's the answer?
Answers
You could use a calculator if u needed to
Answers
Answer:
John Dalton
Step-by-step explanation:
Hopefully this helps you :)
pls mark brainlest ;)
Answers
Answer:
The greatest number of acute angle a triangle can contain are:
3
Step-by-step explanation:
We know that a acute angle is a angle whose measure is less than 90°.
Now we know that the sum of all the angles of a triangle is 180°.
Now we have to find such 3 angles which are less than 90° and add up to 180°.
Let we consider a equilateral triangle.
In a equilateral triangle each angle measures 60°<90°.
and also:
60+60+60=180°.
Hence, the greatest number of acute angles a triangle can contain are:
3.
Answers
4 * 4 (or
16 * 4 *4 *4 *4 *4
16384 people will know the art of quilling
r = 4
О А.
OB. 8m
O C. None of the above
64m
D. 4n
OE 16m
Answers
Answer:
8π
Step-by-step explanation:
Circumference = 2πr
r (radius) = 4
2π*4 = 8π
If this helped, please mark this answer as the Brainliest Answer. Thank you!