SOLUTION: Write a system of linear equations for the following problem: the sum of two number is 80. The smallest number is seventy less than two times the larger number. find the two number

Question 115827: Write a system of linear equations for the following problem: the sum of two number is 80. The smallest number is seventy less than two times the larger number. find the two numbers.
Found 2 solutions by checkley71, MathLover1:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
x+y=80 or x=80-y
x=2y-70 now replace x with(80-y) in the second equation:
80-y=2y-70
-3y=-150
y=-150/-3
y=50 answer.
x+50=80
x=80-50
x=30 answer.
proof
30=2*50-70
30+100-70
30=30

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Given:
the of two number is :
Let numbers be and where , then we have

The smallest number () is seventy less than two times the larger number ()

find the two numbers by solving this system
.........subtract (2) from (1)
��(2)
-------------------------------------

��move to the right and to the left
��
��..divide both sides by
��
��now find what is equal to

��(1)��plug in value
��moveto the right
��
��
So, your answer is:

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