Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

1 answer:

5 0

Part 1: $4x + 7 = 3(2x - 5)$

$4x+7=6x-15$

$7=6x-15-4x

$

$7=2x-15$

$7+15=2x$

$22=2x$

$22=2x / 2$

$x=11$

Part 2: Sam is not correct because <span>he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted. </span>

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Can somebody help me please! And explain I appreciate it!!!

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Answer:

54 beads

Step-by-step explanation:

1 hexagon = 6

2 hexagons = 10

3 hexagons = 14

Based on the pattern shown above +4 you can create an equation from this to help support finding the amount.

y = 4x + 6

y - total amount

4x - amount that is added by

6 - initial amount for 1 hexagon

Based on this you plug in 12 into x and you will find the answer:

y = 4(12) + 6

= 48 + 6

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If you need to check the work honestly drawing it out, but this equation can also be supported based on the 3rd diagram of hexagon, where the initial is 6 and then 4 are added each time afterwards!!!

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