Question

21 multiple choice 4 points what is the value of x in the following equation? 4(2 - x)+15 = 3(x + 3) 5 2 4\frac{1}{2} 3 22 multiple choice 4 points which is an equation of the line that passes through the point (5, -2) and has a slope of -3? y = 3x + 13 y = 3x - 13 y = -3x - 13 y = -3x + 13

Explanation:

Step1: Expand both sides

$4\times2-4x + 15=3x+3\times3$
$8 - 4x+15 = 3x + 9$
$23-4x=3x + 9$

Step2: Move terms with $x$ to one - side

$23-9=3x + 4x$
$14 = 7x$

Step3: Solve for $x$

$x=\frac{14}{7}=2$

Use the point - slope form $y - y_1=m(x - x_1)$, where $(x_1,y_1)=(5,-2)$ and $m=-3$.
$y-(-2)=-3(x - 5)$
$y + 2=-3x+15$
$y=-3x + 13$

Answer:

$2$