Question

Please help with the image below, i cant find the answer

Answer 1

a) By rearranging equation 2 with x as the subject gives x = 6y + 2.

b) The solution to system of equations is x = 11 and y = 3.

In order to determine the solution for the given system of equations, we would apply the substitution method. Based on the information provided above, we have the following system of equations:

x - 2y = 10 .......equation 1.

x - 2 = 6y .......equation 2.

Part a.

By making x the subject of formula in equation 2, we have the following;

x - 2 = 6y

x - 2 + 2 = 6y + 2

x = 6y + 2 .......equation 3.

Part b.

By using the substitution method to substitute equation 3 into equation 1, we have;

6y + 2 - 2y = 10

4y = 12

y = 12/4

y = 3.

For the value of x, we have;

x = 6y + 2

x = 6(3) + 2

x = 11