Can someone help me please

One friend solves
7(x + 4) = 49 by dividing each side
by 7 and then subtracting 4 from
each side. Another friend solves it by
first distributing the 7 on the left side
of the equation, then subtracting 28
from each side, and finally dividing
each side by 7. Which friend uses the
correct method? Explain.

both methods are correct

Step-by-step explanation:

Given

7(x + 4) = 49 ( divide both sides by 7 )

x + 4 = 7 ( subtract 4 from both sides )

x = 3

Given

7(x + 4) = 49 ← distribute parenthesis by 7

7x + 28 = 49 ( subtract 28 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

As shown both methods are equally valid

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true