Solve the system of equations by substitution system-x + 2y = 4 7x-3y = 5

In order to apply the substitution method to solve the system:

-x + 2y = 4;

7x – 3y = 5,

we start by expressing the variable x in terms of y from the first equation of the system and obtain the following system of equations.

System of equations:

x = 2y – 4;

7x – 3y = 5.

Next, we substitute in the second equation instead of x the expression 2y – 4 from the first equation and get:

x = 2y – 4;

7 (2y – 4) – 3y = 5.

We solve the second equation of the system:

14y – 28 – 3y = 5;

11y = 5 + 28;

11y = 33;

y = 33: 11;

y = 3.

System of equations:

x = 2 * 3 – 4 = 6 – 4 = 2;

y = 3.