Carla Age = 0
Sam Age = 5
Kit age = 10
Further Explanation
One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
[tex]\large {\boxed {\bold {ax = b}}[/tex]
or
ax + b = c,
where a, b, and c are constants, x is a variable
Kit (K) is twice as old as his friend Sam (S). Sam is 5 years older than Carla (C). In 5 years, Kit will be three times as old as Carla.
We can translate to equation :
K = 2S ... Equation 1
S = 5 + C .... Equation 2
K+5 = 3(C+5).... Equation 3
We substitute equation 1 and 2 into equation 3
[tex]\rm K+5=3(C+5)\\\\2S+5=3(C+5)\\\\2(5+C)+5=3C+15\\\\10+2C+5=3C+15\\\\2C+15=3C+15\\\\3C-2C=15-15\\\\C=0[/tex]
From equation 2: S = 5 + 0 ⇒S = 5
From equation 1: K = 2. 5 ⇒ K = 10
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