Chapter 1.CT, Problem 1CT

To determine

Whether the given ordered pair is solution of the given equation.

Answer to Problem 1CT

Solution:

Yes, the ordered pair $(\frac{1}{2},\frac{9}{10})$ is the solution of the equation $5y-4=x$.

Explanation of Solution

1) Concept:

Any ordered pair is said to be the solution for the given equation only if it satisfies the equation on by substitution.

2) Calculation:

Given,

Ordered Pair:$(\frac{1}{2},\frac{9}{10})$

Equation: $5y-4=x$

For the ordered pair $(\frac{1}{2},\frac{9}{10})$ we have $x=\frac{1}{2}$ and $y=\frac{9}{10}$, which on substitution in the given equation, we have

$5y-4=x$

$5(\frac{9}{10})-4=\frac{1}{2}$

$\frac{9}{2}-4=\frac{1}{2}$

$\frac{9-8}{2}=\frac{1}{2}$

$\frac{1}{2}=\frac{1}{2}$ which is true.

Hence, the ordered pair $(\frac{1}{2},\frac{9}{10})$ is the solution of the given equation $5y-4=x$.

Final statement:

Therefore, $(\frac{1}{2},\frac{9}{10})$ is the solution of the equation $5y-4=x.$