How many solutions are there to the following system of equations?

5x + 3y = 7
2x – y = 2

A.
2

B.
0

C.
infinitely many

D.
1

Question

How many solutions are there to the following system of equations?
 
5x + 3y = 7
2x – y = 2
 
 A.
2
 
 B.
0
 
 C.
infinitely many
 
 D.
1

anonymous · Answer

please help

hero · Answer

Hint 

2x - 2 = y

hero · Answer

If there are two lines, there will only either be 0, 1, or infinite solutions. So you can eliminate A as a possible choice.

***[isuru]*** · Answer

Hi,
 1st Number the 2 equation 
               5x + 3y = 7 ---(1)
                  2x – y = 2  ---(2)

multiply (2) by 3 and add it to (1)
 u could eliminate y and find x
 then use substitute

hero · Answer

If the equations are not the same, then we can eliminate infinite solutions. If both equations have different slopes, then we can eliminate zero solutions.

hero · Answer

Attempting to solve the system, however, reveals exactly how many solutions there are.

hero · Answer

So using the expression for y, which is 2x - 2, substitute that into the first equation to get:

5x + 3(2x - 2) = 7

And solve for x. If you are able to, then you'll know how many solutions exist.

anonymous · Answer

oh ok thnx