Question

Solve the following system of equations. If there is no solution, write DNE in each coordinate of the

ordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.
2+3 = y + 12
2 + 13 = 1 +8
y - 7 = 2 - 11

Answer 1

1) solution is y = -7

2.) DNE

3.) Solution is y = -2

Explanation:

1.) 2+3 = y + 12

Add the LHS and make y the subject of formula

5 = y + 12

Y = 5 - 12

Y = - 7

The solution of the equation is - 7

2.) 2 + 13 = 1 +8

Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.

3.) y - 7 = 2 - 11

Sum the RHS and make y the subject of formula

Y - 7 = -9

Y = -9 + 7

Y = -2

The solution of the equation is -2