Question

Find the solution for the system of linear equations by substitution: 2x - y = 3 y − x = 1

Answer 1

The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

What are linear equations?

Linear equations are equations that have constant average rates of change, slope or gradient

How to determine the solution to the system?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x- y = 3

y - x = 1

Make y the subject in the second equation, by adding x to both sides of the equation

y - x + x = x + 1

This gives

y = x + 1

Substitute y = x + 1 in 2x- y = 3

2x- x - 1 = 3

Evaluate the like terms

x = 4

Substitute x = 4 in y = x + 1

y = 4 + 1

Evaluate

y = 5

Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

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