Question
b) Use substitution method to solve the following simultaneous equations: 4x-3y=-3 4y-7x=-1
Solution
4.5
(201 Votos)
Raul
Veterano · Tutor por 10 anos
Resposta
To solve the given system of equations using the substitution method, we can start by solving one of the equations for one variable in terms of the other variable. Let's solve the first equation for
in terms of
:
Solving for
, we get:
Now, we substitute this expression for
into the second equation:
Simplifying the equation, we get:
Multiplying through by 4 to clear the fraction, we have:
Combining like terms, we get:
Solving for
, we get:
Now that we have found the value of
, we can substitute it back into the expression for
to find its value:
Therefore, the solution to the system of equations is
and
.