Use a substitution method to solve the linear system 2a=8
a+b=2
Divide the 2 to both sides of the fits equation making a = 4
then Subsituted the 4 for a in the second equation making it 4+B=2 then subtract the four from both sides making the equation B equels -2
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To solve the linear system using the substitution method, we start by solving one equation for one variable and then substituting that result into the other equation.
Let's solve the first equation, 2a = 8, for variable 'a':
Divide both sides of the equation by 2:
2a/2 = 8/2
a = 4
Now that we have the value of 'a', we can substitute it into the second equation, a+b = 2:
Replace 'a' with its value of 4:
4 + b = 2
Next, isolate 'b' by subtracting 4 from both sides of the equation:
4 + b - 4 = 2 - 4
b = -2
So the solution to the linear system 2a = 8 and a + b = 2 is a = 4, b = -2.