SOLUTION: Solving a system of equations word problems using matrices Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point question

Algebra.Com
Question 1159504: Solving a system of equations word problems using matrices
Your teacher is giving you a test worth 100 points containing 40 questions.
There are two-point and four-point questions on the test. How many of each
type of question are on the test?

Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
x 2 points for 2x points
40-x 4 points for 4(40-x) points
2x+4(40-x)=100
2x+160-4x=100
-2x=-60
x=30 2 point questions for 60 points
40-x=10 4 point questions for 40 points

Answer by greenestamps(13209)   (Show Source): You can put this solution on YOUR website!


Gauss-Jordan elimination?
Cramer's Rule?
or maybe something else?

Just specifying "using matrices" doesn't tell us what method of solution you want to use.


RELATED QUESTIONS

I need help solving this word problem we are to use a system of linear equations to solve (answered by richwmiller)
hi i'm having an extreme amount of trouble setting up word problems for linear equations... (answered by Alan3354)
hi i'm having an extreme amount of trouble setting up word problems for linear equations... (answered by stanbon,fgwjr2003)
The directions were to... Use a system of linear equations to... (answered by stanbon)
9. Your teacher is giving you a test worth 100 points containing 25 questions. You are... (answered by ewatrrr,math-vortex)
Your teacher is giving you a test worth 100 points containing 40 questions. There are... (answered by longjonsilver)
your teacher is giving you a test worth 100 points containing 40 questions. there are... (answered by kev82)
Your teacher is giving you a test worth 100 points containing 40 questions. There are... (answered by sdmmadam@yahoo.com)
Your teacher is giving you a test worth 100 points containing 40 questions. There are... (answered by ankor@dixie-net.com)