An equation is formed of two equal expressions. The ordered pair (a,b) which is the solution to the system of equations is (13,-4).
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution
a - 4b=3
Solve the equation for a,
a = 3 + 4b
Substitute the value of a in the second equation,
-2a + 3b = 14
-2(3 + 4b) + 3b = 14
-6 - 8b + 3b = 14
-5b = 20
b = -4
Substitute the value of b,
a = 3 + 4(-4)
a = -13
Hence, the ordered pair (a,b) which is the solution to the system of equations is (13,-4).
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