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svlad2 [7]
3 years ago
12

If EF= 2x-12, FG=3x-15 and EG= 23 find EF I need help

Mathematics
1 answer:
Anarel [89]3 years ago
4 0
I hope this makes sense! if not let me know!

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Anyone can help me solve this equation using cross multiplying
Natali5045456 [20]

9514 1404 393

Answer:

  x = 1 or 5

Step-by-step explanation:

The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

  \displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

  3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}

_____

<em>Comment on "cross multiply"</em>

Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes <em>what the result looks like</em>. It doesn't adequately describe how you get there. The <em>one and only rule</em> in solving Algebra problems is "<em>whatever is done to one side of the equation must also be done to the other side of the equation</em>." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.

What looks like "cross multiply" is really "<em>multiply by the product of the denominators</em> and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

  \displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}

8 0
2 years ago
The rectangle shown has a perimeter of 44cm and the given area. Its length is 4 more than its width. Write and solve a system of
nasty-shy [4]

Answer:

Hope it helps◉‿◉Have a nice day.

6 0
2 years ago
1/3 (3x+9) = 5-3 (x-2)
qaws [65]
X+3=5-3x+6. 4x=8. X=2.
8 0
3 years ago
9/20+3/18 i need help witth this question
Nataliya [291]

Answer:

37/60 OR 111/180

(37/60 is simplified and 111/180 is the original)

3 0
2 years ago
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i think brainstorming

Step-by-step explanation:

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