assuming that a=8-x,b=9+x,and c=13,find a and b
To find the values of a and b when given the equations a=8-x, b=9+x, and c=13, we can substitute the given value of c into the equations for a and b.
Start with the equation for a: a=8-x
Substitute c=13 into the equation: 13=8-x
Rearrange the equation to solve for x: x=8-13
Perform the subtraction: x=-5
Now that we have the value of x, we can substitute it back into the equations for a and b to find their values.
Using the value of x=-5, substitute it into the equation for a: a=8-x
a=8-(-5)
a=8+5
a=13
Using the value of x=-5, substitute it into the equation for b: b=9+x
b=9+(-5)
b=9-5
b=4
Therefore, the values of a and b are a=13 and b=4, respectively.