Question

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

Answer 1

To find the solution fo the given system of linear equation,

Let's substitute the equation y = 2x to y - x =1. We get,

`\text{ y - x = 1 }\rightarrow\text{ (2x) - x = 1}`
`\text{ x = 1}`

Let's now find the value of y by substituting x = 1 to y =2x.

`\text{ y =2x }\rightarrow\text{ y = 2(1)}`
`\text{ y = 2}`

Therefore, the system of the linear equation has one solution and it is (1,2).