Use the substitution method to solve the following system of equations: 3x + 5y = 3, x + 2y = 0
We will use the substitution method in order to find the values of x and y.
Answer: (6, -3) is the solution to the above equations.
Let us see how we will use the substitution method in order to find the values of x and y.
The equations that are given to us are 3x + 5y = 3 and x + 2y = 0
First equation is 3x + 5y = 3 and the second equation is x + 2y = 0
Now, from the second equation, we get x = -2y
Let us substitute the value of x from the second equation in the first equation as,
3(-2y) + 5y = 3
-6y + 5y = 3
-y = 3
y = -3
Now, since x = -2y, then x = 6
Try out Cuemath's online Solving Linear Equations Calculator to verify your answer.
Hence (6, -3) is the solution to the above equations.