Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
2. Solving Systems Using Substitution
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Exercise 57 Page 377

Isolate k on one side of the equation using the Properties of Equality.

3/2

Practice makes perfect

To solve the equation we have to isolate k on one side.

Solving the Equation

We will begin by moving all variable terms to the left-hand side and all constants to the right-hand side.
5k+7=3k+10
â–Ľ
LHS-3k=RHS-3k
5k+7-3k=3k+10-3k
2k+7=10
â–Ľ
LHS-7=RHS-7
2k+7-7=10-7
2k=3
Finally, we can fully isolate k by dividing both sides by 2.
2k=3
â–Ľ
.LHS /2.=.RHS /2.
2k/2=3/2
k=3/2
Therefore, k= 32 is the solution to the equation.

Checking Our Answer

To check that our answer is correct, we can substitute our solution back into the given equation.
5k+7=3k+10
5( 3/2)+7? =3( 3/2)+10
15/2+7? =9/2+10
15/2+14/2? =9/2+20/2
29/2=29/2
Because both sides are equal, we know that our solution is correct.