Check whether the value given in the brackets is a solution to the given equation or not:

a) n+5=19 (n=1)

b) 7n+5=19 (n=-2)

c) 7n+5=19 (n=2)

d) 4p-3=13 (p=1)

e) 4p-3=13 (p=-4)

f) 4p-3=13 (p=0)

The parts of the given question are solved below:

a) The equation we have is: n + 5 = 19

Note: To check whether n = 1 satisfies the given equation, we put n = 1 in the equation.

L.H.S. = 1 + 5 = 6 ≠ RHS

Thus, n = 1 is not a solution of the given equation.

b) The equation we have is: 7n + 5 = 19

Note: To check whether the n = -2 satisfies the given equation, we put n = -2 in the given equation.

L.H.S. = 7(-2) + 5 = -9 ≠ RHS

Thus, the answer is No i.e. the equation is not satisfied.

c) The equation we have is: 7n + 5 = 19

Note: To check whether the n = -2 satisfies the given equation, we put n = 2 in the given equation.

L.H.S. = 7(2) + 5 = 19 = RHS

Thus, the answer is Yes i.e. the equation is satisfied.

d) The equation we have is: 4p – 3 = 13

Note: To check whether the p = 1 satisfies the given equation, we put p = 1 in the given equation.

L.H.S. = 4(1) – 3 = 1 ≠ RHS

Thus, the answer is No i.e. the equation is not satisfied.

e) The equation we have is: 4p – 3 = 13

Note: To check whether the p = -4 satisfies the given equation, we put p = -4 in the given equation.

L.H.S. = 4(-4) – 3 = -19 ≠ RHS

Thus, the answer is No i.e. the equation is not satisfied.

f) The equation we have is: 4p – 3 = 13

Note: To check whether the p = 0 satisfies the given equation, we put p = 0 in the given equation.

L.H.S. = 4(0) – 3 = -3 ≠ RHS

Thus, the answer is No i.e. the equation is not satisfied.