Hi Again Roseland;
Another great question! I appreciate it!
x=smaller number
y=larger number
x+y=26
y=3x+14
We need to perform a method called SUBSTITUTION. I will illustrate.
Let's begin with the first equation, because it is easiest.
Let's isolate for y...
x+y=26
y=26x
Now...
26x=3x+14
Let's combine like terms...
Let's add x to both sides...
x+26x=3x+14+x
26=4x+14
Let's subtract 14 from both sides...
14+26=4x+1414
12=4x
Let's divide both sides by 4...
12/4=(4x)/4
x=3
y=263=23
Let's check our results...
Does y=3x+14
23 ??? 3(3)+14
23 ??? 9+14
23=23
Yes!
10/20/2013

Vivian L.