# What is the solution to the system of linear equations? 3x - y = 23, 4x + 3y = 48

A system of linear equations is a set of equations that are satisfied by the same set of variables.

## Answer: The solution to the system of linear equations 3x - y = 23, 4x + 3y = 48 is x = 9, y = 4

We will use the substitution method to solve the system of equations.

**Explanation:**

We have equations, 3x - y = 23 ----- (1) and

4x + 3y = 48 ------- (2)

From Equation (1), y = 3x - 23 ------ (3)

Substitute y = 3x - 23 in Equation (2)

4x + 3(3x - 23) = 48

13x - 69 = 48

13x = 117

x = 9

Now, substitute x = 9 in Equation (3)

y = 3 (9) - 23 = 4

### So, the required solution is x = 9 and y = 4

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