Solve the system of equations. 2x - 5y = 3; x - 3y = 1

Solution:

Given, the system of equations are 

2x - 5y = 3 ---------- (1)

x - 3y = 1 ------------ (2) 

We have to find the solutions to the system of equations.

From (2), x = 1 + 3y

Put the value of x in (1),

2(1 + 3y) - 5y = 3

2 + 6y - 5y = 3

2 + y = 3

y = 3 - 2

y = 1

Put y = 1 in (2)

x - 3(1) = 1

x - 3 = 1

x = 1 + 3

x = 4

Therefore, the solutions to the system of equations are x = 4 and y = 1.

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Solve the system of equations. 2x - 5y = 3; x - 3y = 1

Summary:

The solutions to the system of equations 2x - 5y = 3 and x - 3y = 1 are x = 4 and y = 1.