Answer:
x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12
Step-by-step explanation:
<em>Expand:</em>
x(2x + 3): 2x² + 3x
2x² + 3x + (x - 3) (x - 4)
<em>Expand</em>:
(x - 3) (x - 4): x²- 7x + 12
2x² + 3x + x²- 7x + 12
<em>Simplify:</em>
2x² + 3x + x² - 7x + 12: 3x² - 4x + 12
= 3x² - 4x +12
Total: 73
dogs: x
cats: 2x+10
2x+10+x=73
3x+10=73
3x=63
x=21
dogs: x
dogs: 21
cats: 2x+10
cats: 52
Check answer:
cats+dogs=73
52+21=73
There's no need for a system of linear equations if you were to solve a real life problem like this. In calculus, they don't give a rat about HOW you get your answer to an easy algebra 1 equation, as long as you used one of the correct methods and got the right answer.
Best of luck my friend. :)
The work is on the picture attached, but a = 1
Hope this helps!!
Answer:
(c, b)
Step-by-step explanation:
Add the coordinates together and divide by 2
x coordinates: 2c + 0 = 2c, divided by 2 = c
y coordinates: 0 + 2b = 2b, divided by 2 = b

Solution:
Given equation is
.
To solve the equation by step by step.
Step 1: Given

Step 2: Combine like terms together.
Plus symbol changed to minus when the term goes from right to left (or) left to right of the equal sign.

Step 3: Subtract the fractions in the left side.

⇒ 
Step 4: Divide both side of the equation by 3, we get


Hence, the answer is
.