The equation have infinitely many solution when n is equal to -15.41.
<h3>What is linear equation?</h3>
A linear equation in one variable is an equation which has a maximum of one variable of order 1. It is of the form ax + b = 0, where x is the variable. This equation has only one solution.
Given equation is;
24( mx + n ) = 3x + 17
where; m and n are real numbers.
Part 1. If m = 14 and n = 13 then
Putting the value of m and n in the equation we get;
= 24( 14.x + 13 ) = 3x + 17
= 336x + 312 = 3x + 17
= 336x - 3x = 17- 312
= 333x = -295
x = 0.886
Hence, x = 0.886 the equation having one solution .
part 2. if m = 18 then to find n .
put m = 18 in the given equation;
= 24(18.(0.886) + n ) = 3(0.886) + 17
= 24(15.94) + 24n = 2.658 + 17
= 382.56 + 24n = 19.658
= 24n = 19.658 - 382.56
n = -15.41
Hence, The equation have infinitely many solution when n is equal to -15.41.
TO learn more details about the types of solution click the given below.
brainly.com/question/21400387
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The complete question is;
PART A: Rosie writes the equation 24(mx+n)=3x+17, where m and n are real numbers.
If m=14 and n=13, does the equation have one solution, infinitely many solutions, or no solutions? Explain your answer.
