Answer:
a+b=12;3a+b=8
Step: Solve a+b=12for a:
a+b=12
a+b+−b=12+−b(Add -b to both sides)
a=−b+12
Step: Substitute−b+12forain3a+b=8:
3a+b=8
3(−b+12)+b=8
−2b+36=8(Simplify both sides of the equation)
−2b+36+−36=8+−36(Add -36 to both sides)
−2b=−28
−2b
−2
=
−28
−2
(Divide both sides by -2)
b=14
Step: Substitute 14 for b in a=−b+12:
a=−b+12
a=−14+12
a=−2(Simplify both sides of the equation)
Answer:
a=−2 and b= 14
