Question

Brandon uses the steps below to solve the equation 15x+6=14x+5 using algebra tiles. Step 1 Add 14 negative x-tiles to both sides. Step 2 Add 5 negative unit tiles to both sides Step 3 The solution is x=1 Which explains whether Brandon is correct?

Answer 1

Answer:

No he was not correct

Step-by-step explanation:

The Equation is 15 x + 6 = 14 x + 5

now By the steps brandon used let us solve the question

Step 1 : Add 14 negative x tile to both sides

which will make the equation

15x + 6 - 14x = 14x + 5 - 14 x

x + 6 = 5  .......(ii)

Step 2: Add 5 negative unit tiles to both sides of equation (ii)

which will make the equation

x +6 - 5 = 5 - 5

x + 1 = 0  .........(iii)

Step 3: x =1 is the answer

but from equation (iii) we see that

x + 1 =0

by adding -1 on both sides

x + 1 -1 = 0-1

x = -1

So the step three done by Brandon is wrong which explains he was not correct

Answer 2

Answer:

D.) Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2.

Step-by-step explanation:

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