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nlexa [21]
2 years ago
6

Solve the multi - step equation with an explanation please 7k + 2 = 4k - 10

Mathematics
2 answers:
andre [41]2 years ago
8 0

Hey there!

<u>Solve </u><u>the </u><u>equation </u><u>:</u>

  • Answer :

k = -4 ✅

  • Explanation:

7k + 2 = 4k - 10

<em>></em><em>></em><em> </em><em>Subtra</em><em>c</em><em>t </em><em>2</em><em> </em><em>from </em><em>both </em><em>sides </em><em>:</em>

7k + 2 - 2 = 4k - 10 - 2

7k = 4k - 12

<em>></em><em>></em><em> </em><em>Subtract </em><em>4</em><em>k</em><em> </em><em>from </em><em>each</em><em> </em><em>sides </em><em>:</em>

7k - 4k = 4k - 12 - 4k

3k = -12

<em>></em><em>></em><em> </em><em>Divide </em><em>both </em><em>sides </em><em>by </em><em>3</em><em> </em><em>:</em>

3k / 3 = -12 / 3

k = -4

▪️Let's verify :

7(-4) + 2 ⇔ -28 + 2 ⇔ -26

4(-4) - 10 ⇔ -16 - 10 ⇔ -26

Therefore, k = -4

Learn more about first-degree equations:

↣brainly.com/question/18754605

Ostrovityanka [42]2 years ago
6 0

Answer: k=−4

Step-by-step explanation:  

7k+2=4k−10

Subtract 4k from both sides.

7k+2−4k=−10

Combine 7k and −4k to get 3k.

3k+2=−10

Subtract 2 from both sides.

3k=−10−2

Subtract 2 from −10 to get −12.

3k=−12

Divide both sides by 3.

k=

3

−12

​

Divide −12 by 3 to get −4.

k=−4

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