# algebra 1

How many solutions does this system have-2x+y=3 6x=9-3y
A. one
B. none
C. infinite
D. two

A??

1. 👍 2
2. 👎 0
3. 👁 587

1. 👍 0
2. 👎 0
posted by sydney
2. -2x+y=3 ----> 2x - y = -3

6x=9-3y
6x + 3y = 9
divide by 3 ,
2x + y = 3

Since the slopes are different, they will intersect.
So ONE solution.

Proof:
http://www.wolframalpha.com/input/?i=plot+-2x%2By%3D3+,+6x%3D9-3y

1. 👍 0
2. 👎 1
posted by Reiny

## Similar Questions

1. ### math

Determine the number of solutions for the following system of equations 2x+5y=7 10y=-4x+14 1)Exactly one solution 2)No solutions 3)infinite solutions 4)Exactly 2 solutions I solved the equations and got y=7-2X/5 y=-4X+14/10 and I

asked by B8 on March 2, 2014
2. ### Algebra 1

1.) Which best describes a system of equations that has no solution? A. Consistent, independent B. inconsistent, dependent C. consistent, dependent D. inconsistent** 2.) How many solutions does this system have? 2x+y=3 6x=9-3y A.

asked by Anon on December 20, 2018
3. ### Math 8

A system of equations are shown below -y+2x=4 2x-y= -4 if i solve separately it has infinite solutions but if i solve together there are no solutions is it infinite or no solution?

asked by genie on April 7, 2017
4. ### pre calculus

Create systems of equations in two variables that have (a) no solution, (b) one distinct solution, and (c) infinite solutions. Show that each system has the indicated number of solutions by using a graph or solving the system.

asked by Anonymous on November 29, 2016
5. ### Algebra

Make a conjecture about the solution of a system of equations if the result of subtracting one equation from the other is 0 = 0 A. There are no solutions b. there are infinite number of solutions c. Cannot determine any solution

asked by G65 on November 23, 2013
6. ### Math

5. Find the solution to the system of equations by using either graphing or substitution. y = 6 – x and y = x – 2 (2, 4) (–4, 2) (4, 2) no solutions 6. y = 2x – 1 and y = x + 3 (1 point)(4, 7) (7, 4) (–7, –4) infinite

asked by Mr.Brain on May 2, 2013
7. ### @someone who can show me how to do this

Hi I'm Aluminum

asked by Aluminum<3 Helping and C.S.I on October 9, 2014

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on

asked by Help me! on January 11, 2018
9. ### Algebra

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on

asked by Help me! on January 11, 2018
10. ### algebra

i dont do the solutions very well could someone help me? how many real number solutions does the equation have? 0=2x^2-20x+50 A. 1 solution B. 2 solutions C. no solutions D. infinite solutions Is it C? Also if anyone has the rest

asked by avg joe who didnt go on April 29, 2019