You can
put this solution on YOUR website!Let x = 1st number
Let y = 2nd number
:
Write an equation for each statement:
"If three times the first number plus four times the second number equals 26,"
3x + 4y = 26
:
"ten times the first number and minus two times the second number equals 10,"
10x - 2y = 10
:
what are the numbers?
;
We can use elimination here; multiply the 2nd equation by 2 and add to the 1st
20x - 4y = 20
3x + 4y = 26
-----------------adding eliminates y
23x + 0y = 46
x =
x = 2
:
Use the 1st equation to find y, (substitute 2 for x), Check the solutions in the 2nd equation.
