Use the substitution method to solve the following system of equations: 4x − y = 3, 7x − 9y = −2
We will use the substitution method in order to find the values of x and y.
Answer: Using substitution method, (1, 1) is the solution to the given system of equations 4x − y = 3, 7x − 9y = −2
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 4x − y = 3, 7x − 9y = −2
First equation = 4x − y = 3
Second equation = 7x − 9y = −2
Now for the first equation y = 4x - 3
Let us substitute the value of y from the first equation in the second equation as
7x - 9 (4x - 3) = -2
7x - 36x + 27 = -2
7x - 36x = -2 - 27
-29x = -29
⇒ x = 1
Now since, y = 4x - 3, we get
y = 1