Question
3. What is the x-coordinate of the solution of the following system? ) 3x+10y=1 x+2y=-1
Solution
4.6
(298 Votos)
Gonçalo
Mestre · Tutor por 5 anos
Resposta
To find the
-coordinate of the solution to the system of equations:
we can use the method of substitution or elimination. Here, we will use the elimination method.First, let's multiply the second equation by 3 to align the coefficients of
:
This simplifies to:
Now, we have the following system of equations:
Next, subtract the second equation from the first equation to eliminate
:
Simplifying this, we get:
Solving for
:
Now that we have
, substitute this value back into the second original equation to solve for
:
Simplify and solve for
:
Therefore, the
-coordinate of the solution is: