Solve for x. 16x – 3(4x + 5) = 2x + 9

Mathematics

2 answers:

aniked [119]2 years ago

8 0

Answer:

The answer is x=12

motikmotik2 years ago

7 0

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

16x - 3(4x + 5) = 2x + 9 Distribute -3 into (4x + 5)

16x + (-3)4x + (-3)5 = 2x + 9

16x - 12x - 15 = 2x + 9 Combine like terms (terms that have the same variable and power/exponent), which are 16x - 12x, as they have the same variable "x" and a power/exponent of 1.

4x - 15 = 2x + 9 Subtract 2x on both sides

4x - 2x - 15 = 2x - 2x + 9

2x - 15 = 9 Add 15 on both sides

2x - 15 + 15 = 9 + 15

2x = 24 Divide 2 on both sides to get "x" by itself

$\frac{2x}{2}=\frac{24}{2}$

x = 12

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Hope this Helps!!!

5 0

2 years ago

2x- 3y=9 5x+3y=12 How would i solve this? I dont understand this and i really need help with it!Also I have to graph the an

dedylja [7]

$\begin{cases} 2x- 3y=9 \\5x+3y=12 \end{cases}\\ + \ \ ------- \\ 7x=21 \ \ /: 7\\ \\x=\frac{21}{3}\\ \\ x=3 \\ \\2x- 3y=9$

$2*3-3y=9\\ \\6-3y =9\\ \\-3y=9-6\\ \\-3y=3 \ \ / :(-3)\\ \\x=-1\\ \\ \begin{cases} x=3\\y= -1 \end{cases}$

$graph\\ \\\begin{cases} 2x- 3y=9 \\5x+3y=12 \end{cases}\\ \\ \begin{cases} - 3y=-2x+9\ \ /:(-3) \\ 3y=-5x+12 \ \ /:3 \end{cases}\\ \\ \begin{cases} y= \frac{2}{3}x-3 \\ y=-\frac{5}{3}x+4 \end{cases}$