Question

Equation 1 4y+1=x equation 2 x=5y solve the system of linear equations by substitution

Answer 1

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