subject
Mathematics, 14.06.2020 00:57 moongirl4791

Given a system of two equation in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show me why this is true by solving the system of equation given. Justify the reason for each step. HINT: Use addition property of equality and multiplication property of equality in your answer. ( 8 points 5x + 2y = 7
3x - y = 2

A) To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equation. ( 1 point )

B) Why is this multiplication allowed?

C) What variable will be eliminated when the equation are combined after the multiplication?

D) Next, add equation together. Your answer should be single equation with one variable.

E) Why can you add the equation?

F) Solve the equation for x.

G) Substitute x back into one of the equation to solve for y.

H) What is the solution to the system of the equation?

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 14:00
Assume that a population of 50 individuals has the following numbers of genotypes for a gene with two alleles, b and b: bb = 30, bb = 10, and bb = 10. calculate the frequencies of the two alleles in the population’s gene pool.
Answers: 2
question
Mathematics, 21.06.2019 16:30
Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.
Answers: 1
question
Mathematics, 21.06.2019 21:30
For the inequality |c| < |d| to be true, which of the following must be true?
Answers: 2
question
Mathematics, 21.06.2019 22:30
Acampus club held a bake sale as a fund raiser, selling coffee, muffins, and bacon and eggs sandwiches. the club members charged $1 for a cup of coffee, 3$ for a muffin , and $4 for a back. and egg sandwich. they sold a total of 55 items , easing $119. of the club members sold 5 more muffins than cups of coffee, how many bacon and egg sandwiches he’s did they sell
Answers: 1
You know the right answer?
Given a system of two equation in two variables, replacing one equation by the sum of that equation...
Questions
question
Mathematics, 25.02.2021 17:10
question
History, 25.02.2021 17:10
question
Biology, 25.02.2021 17:10
question
Mathematics, 25.02.2021 17:10
question
Physics, 25.02.2021 17:10