Question

Question o

How many solutions does this equation have?
-21t - 4) = 10 - 2t
two solutions
one solution
infinite solutions
no solution

Answer 1

The equation -21t - 4 = 10 - 2t has only one solution

Solution:

Given, equation is – 21t – 4 = 10 – 2t

We have to find how many solutions does the above given equation have

Now, let us solve the given equation to find the number of solutions it has.

Then, - 21t – 4 = 10 – 2t

Taking like terms to one side of the equation we get,

- 21t + 2t = 10 + 4

`\begin{array}{l}{-19 t=14} \\\\ {19 t=-14} \\\\ {t=-(14)/(19)}\end{array}`

here we can see only one value of t.

Hence, the given equation has only one solution.