Examkin

Soru

Zorluk: OrtaSolving One-Variable Linear Equations

Calculate the precise value of kk that makes the following algebraic equation true:

5(2k−3)=3k+13 5(2k - 3) = 3k + 13

Cevap: 4

Cevap

4
The correct value is found by distributing the 5, gathering all variable terms on one side and constants on the other, and finally dividing by the variable's coefficient.

Adım Adım Çözüm

1
Apply the distributive property on the left side of the equation.
10k−15=3k+1310k - 15 = 3k + 13
To eliminate the parentheses and expose the variable terms for grouping.
2
Subtract 3k3k from both sides.
7k−15=137k - 15 = 13
To collect all terms containing the variable kk on one side of the equation.
3
Add 1515 to both sides.
7k=287k = 28
To isolate the variable term by moving constants to the opposite side.
4
Divide both sides by 77.
k=4k = 4
To solve for the final value of kk.

Anahtar Kavram

Solving linear equations with variables on both sides using the distributive property.
Bu soruyu puanla

Konular

Solving One-Variable Linear Equations

Bu konudan daha fazla soru