7n-(4n-3) combining like terms with negative coefficient and distribution

Mathematics

1 answer:

sladkih [1.3K]1 year ago

6 0

$\huge\text{Hey there!}$

$\huge\textbf{Equation/Question:}$

$\mathbf{7n - (4n - 3)}$

$\huge\textbf{Convert equation/question to:}$

$\mathbf{= 7n - 1(4n - 3)}$

$\huge\textbf{Solving the equation/question:}$

$\mathbf{= 7n - 1(4n) - 1(-3)}$

$\mathbf{= 7n - 4n + 3}$

$\huge\textbf{Combine the like terms:}$

$\mathbf{= (7n - 4n) + 3}$

$\mathbf{= 7n - 4n + 3}$

$\mathbf{= 3n + 3}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\frak{3n + 3}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

<h3>~ $\frak{Amphitrite1040:)}$ </h3>

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3 years ago

Help? Please?<br> I really suck at geometry

Maslowich

Answer:

x = 14

y = 4

Explanation:

Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.

So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.

So we can write the equation x = y + 10.

Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.

So, we can write the equation 4y = x + 2.

Now we have the equations $\left \{ {{x=y+10} \atop {4y=x+2}} \right.$ you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.