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.

Explanation:

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

Hence (1, 1) is the solution to the given equations.