What is the solution to the system of linear equations?


Question: 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: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 3x - 23 for y in Equation (2).

4x + 3(3x - 23) = 48

13x - 69 = 48

13x = 117

x = 9

Now, substitute 9 for x in Equation (3)

y = 3 (9) - 23 = 4

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