if a^b=17 and a-b =1 then a,b are
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if a^b=17 and a-b =1 then a,b are
We are given a system of two linear, simultaneous equations in two unknowns, a and b: a+ b = 19 and a - b = 1.
To solve for the unknown a, we'll use the Elimination Method (Addition/Subtraction Method) as follows to get rid of the variable b:
Adding the two equations, we get:
a + b = 19
a - b = 1
---------
2a + 0 = 20
2a = 20
(2a)/2 = 20/2
(2/2)a = 20/2
(1)a = 10
a = 10
The student should continue using the Elimination Method(Addition/Subtraction Method) by subtracting equation a - b = 1 from a + b = 19 to see that b = 9, and then substituting a = 10 and b = 9 into BOTH of the given equations to see that the ordered-pair solution (a, b) = (10, 9) makes BOTH equations true.
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