Question 339064
Let x = the first number
Let y = the other number
:
Write an equation for each statement:
:
"The sum of two numbers is 6 less than twice the first number."
x + y = 2x - 6
x - 2x + y = -6
-x + y = -6
:
"Their difference is 10 less than four times the second number."
x - y = 4y - 10
x - y - 4y = -10
x - 5y = -10
:
Add the two equations
-x + y = -6
+x -5y = -10
----------------adding eliminates x, find y
-4y = -16
y = {{{(-16)/(-4)}}}
y = +4
:
Find x using the 1st equation -x + y = -6
-x + 4 = -6
-x = -6 - 4
-x = -10
x = +10
:
:
Check solution of x=10, y=4 with the statement:
"Their difference is 10 less than four times the second number."
10 - 4 = 4(4) - 10
6 = 16 - 10
:
:
Enter the larger number in the answer box below.
:
I'll let you find the box and do that!