SOLUTION: Solve the following story problems. Assign variables, make two equations and label answers. Four times a number minus another number is -16. The sum of the two numbers is -1. Find

Algebra ->  Inverses -> SOLUTION: Solve the following story problems. Assign variables, make two equations and label answers. Four times a number minus another number is -16. The sum of the two numbers is -1. Find      Log On


   

Question 938947: Solve the following story problems. Assign variables, make two equations and label answers.
Four times a number minus another number is -16. The sum of the two numbers is -1. Find the numbers
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
Let x,y be the two numbers
Four times a number minus other number is -16
4x-y=16......eq1
Sum of the two numbers is -1
X+y=-1.......eq2
We need to solve above equations to get x ,y values
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++4%5Cx+%2B+-1%5Cy+=+16%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+-1+%29%0D%0A++We'll use substitution. After moving -1*y to the right, we get:
4%2Ax+=+16+-+-1%2Ay, or x+=+16%2F4+-+-1%2Ay%2F4. Substitute that
into another equation:
1%2A%2816%2F4+-+-1%2Ay%2F4%29+%2B+1%5Cy+=+-1 and simplify: So, we know that y=-4. Since x+=+16%2F4+-+-1%2Ay%2F4, x=3.

Answer: system%28+x=3%2C+y=-4+%29.