So quick question 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. Which friend uses the method correctly? Explain.

The first friend

Step-by-step explanation:

Because if you distributed the 7 then you will also get 7x.

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.