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nordsb [41]
3 years ago
6

 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

wsers afterward on a graph, so i really need the help. I appreciate it:)

Mathematics
1 answer:
dedylja [7]3 years ago
7 0
\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}


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bagirrra123 [75]
f(x)=x^2-12x+20\\\\\text{The zeros:}\\\\f(x)=0\to x^2-12x+20=0\\\\x^2-10x-2x+20=0\\\\x(x-10)-2(x-10)=0\\\\(x-10)(x-2)=0\iff x-10=0\ \vee\ x-2=0\\\\\boxed{x=10\ \vee\ x=2}
8 0
3 years ago
What is -3 - 9n= 42 I can’t be negative
maw [93]

If you were to correctly simplify this equation, the answer would be a negative.

The answer is: n = -5

Here's how I got my answer:

Step 1: Add 3 to both sides. Which leaves us with -9n=42+3

Step 2: Simplify 42+3 to 45. Which leaves us with -9n = 45

Step 3: Divide both sides by -9. Which leaves us with n = -45/9

Step 4: Simplify -45/9, to get your answer, n = -5.

4 0
3 years ago
100 POINTS!!! Which statement about rational numbers is correct?
Natasha_Volkova [10]

Answer: Rational numbers have decimal expansions that repeat or terminate.

Step-by-step explanation:

The explanation of this is the non-terminating but repeating decimal expansion means that although the decimal representation has an infinite number of digits, there is a repetitive pattern to it. The rational number whose denominator is having a factor other than 2 or 5, will not have a terminating decimal number as the result.

6 0
2 years ago
Part of the proceeds from a garage sale was $470 worth of $10 and $20 bills. If there were 14 more $10 bills than $20 bills, fin
Brums [2.3K]

There are 25 $10 bills and 11 $20 bills.

Step-by-step explanation:

Given,

Worth of proceeds from garage = $470

Let,

x be the number of $10 bills

y be the number of $20 bills.

According to given situation;

10x+20y=470       Eqn 1

x = y+14                Eqn 2

Putting value of x from Eqn 2 in Eqn 1

10(y+14)+20y=470\\10y+140+20y=470\\30y=470-140\\30y=330

Dividing both sides by 30

\frac{30y}{30}=\frac{330}{30}\\y=11

Putting y=11 in Eqn 2

x=11+14\\x=25

There are 25 $10 bills and 11 $20 bills.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/1279756
  • brainly.com/question/1284310

#LearnwithBrainly

5 0
2 years ago
The school purchased baseball equipment and uniforms for a total cost of $1836. the equipment cost $612 and the uniforms were $2
liraira [26]

Answer:

48 uniforms

Step-by-step explanation:

1836-612=1224.

1224/25.50=48.

Checked answer:

25.50 x 48= 1224

6 0
3 years ago
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