What is the solution set of the following system of equations?
5x - 3y - 10 = 0
x + y - 7 = 0

Solution:

We will use the elimination method to solve the system of linear equations.

Let 5x - 3y - 10 = 0 --- equation(1)

x + y - 7 = 0 --- equation(2)

Step 1: Multiply equation(2) by 5.

5x + 5y - 35 = 0 --- equation(3)

Step 2: Subtract equation(1) from equation(3).

(5x + 5y - 35 = 0) - (5x - 3y - 10 = 0)

8y = 25

y = 25/8

Step 2: Substitute the value of y in equation (2), we get

x + 25/8 - 7 = 0

x + (25 - 56)/8= 0

x = 31/8

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What is the solution set of the following system of equations?
5x - 3y - 10 = 0
x + y - 7 = 0

Summary:

The value of x and y in the solution to the following system of equations 5x - 3y - 10 = 0; x + y - 7 = 0 is 31/8 and 25/8 respectively.