Equation 1 4y+1=x

equation 2 x=5y

solve the system of linear equations by substitution

The first given equation is:

4y + 1 = x ... > equation I

The second given equation is:

2x = 5y ... > equation II

Substitute with equation I in equation II to get the value of y as follows:

2x = 5y

2 (4y+1) = 5y

8y + 2 = 5y

8y - 5y = - 2

3y = - 2

y = - 2/3

Substitute with the value of y in equation I to get the value of x as follows:

x = 4y + 1

x = 4 (-2/3) + 1

x = - 5/3

Based on the above calculations:

x = - 5/3

y = - 2/3