lacey112298
Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

2. How many solutions does this system have? 2x + y = 3, 6x = 9 – 3y
A) 1
B) None
C) Infinite
D) 2

Sagot :

Panoyin
2x + y = 3
6x = 9 - 3y
        ↓
2x + y = 3
6x + 3y = 9

3(2x + y = 3)
3(2x) + 3(y) = 3(3)
6x + 3y = 9

There is an infinite number of solutions in the system (the answer is C).
isyllus

Answer:

The system of equation has infinite solution.

C is correct.

Step-by-step explanation:

We are given system of equation

2x + y = 3

6x = 9 – 3y

First we re-write the second equation in standard form

So, we add 3y both sides

6x+3y=9 ---------------- (2)

2x+y = 3-----------------  (1)

Multiply equation 1 by 3

3(2x)+3y = 3(3)

6x+3y=9

Subtract new equation from 2nd equation

6x-6x + 3y-3y = 9-9

0=0

LHS=RHS

This is true statement. If statement is true then infinite number of many solution.

Hence, The system of equation has infinite solution.

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.