All categories

4 years ago

How many solutions does the system of equations have? 2x + 3y = 6 y=2/3x-1 A. 0 B. 1 C. 2 D. infinite

Mathematics

2 answers:

kipiarov [429]4 years ago

8 0

Answer:

the answer is a :)

Step-by-step explanation:

Dvinal [7]4 years ago

6 0

Answer:

The answer is B) 1.

Step-by-step explanation:

Combine the equations like this:

$2x+3y=\frac{2}{3}x-1$

Then subtract $3y$ from all sides.

$2x+3y-3y=\frac{2}{3}x-1-3y$

Simplify the equation.

$2x=\frac{2}{3}x-1-3y$

Then subtract $\frac{2}{3}x$ from all sides.

$2x-\frac{2}{3}x=\frac{2}{3}x-1-3y-\frac{2}{3}x$

Simplify again.

$\frac{4}{3}x=-1-3y$

Multiply all sides by $3$ .

$3\times \frac{4}{3}x=-3\times 1-3 \times 3y$

Simplify again.

$4x=-3-9y$

Divide all sides by $4$

$\frac{4x}{4}=- \frac{3}{4}- \frac{9y}{4}$

Simplify again.

$x= \mathbf{\frac{-3-9y}{4}}$

You might be interested in

Plss help meee

Alborosie

Step-by-step explanation:

Storage Space of Shed = Volume of Shed.

Volume of Shed = Volume of Rectangular level

+ Volume of Triangular roof

Volume of Rectangular Level =

Length x Width x Height

$12 \times 6 \times 8 \\ = 576 {ft}^{3}$

Volume of Triangular Roof =

Area of Triangular side x Length

$\frac{1}{2} \times base \times height \times length \\ = \frac{1}{2} \times 6 \times 4 \times 12 \\ = \frac{1}{2} \times 288 \\ = 144 {ft}^{3}$

Volume of Shed = 576 + 144

$720 {ft}^{3}$

3 0

3 years ago

M = (1 +19)(2) How do i solve it?

Gelneren [198K]

Answer:

Step-by-step explanation:

Firstly, i solved for the first pair of parenthesis and got 20. If there is no sign in between a pair of brackets of parenthesis its multiplication

Put as brainliest if you wish

5 0

3 years ago

Is 2/5 bigger than 4/9

Vilka [71]

One way to look at this is that 2/5 = 4/10, but depending on how well you understand fractions, you might not be able to compare 4/10 and 4/9.

To make it easier to see, we can find a common denominator:
2/5 = 18/45
4/9 = 20/45

No, 2/5 is not bigger than 4/9

8 0

3 years ago

Select the transformation that shows a Y-Axis reflection

Rina8888 [55]

Answer:

I believe the answer you are looking for is A, the first one.

8 0

3 years ago

Simplify 81p6q2÷3p2q5 HELPPP

goldfiish [28.3K]

Answer:

$\displaystyle \frac{81\, p^{6}\, q^{2}}{3\, p^{2} \, q^{5}} = \frac{27\, p^{4}}{q^{3}}$ .

Step-by-step explanation:

Make use of the fact that for any $x \ne 0$ and integer $n$ :

$\displaystyle \frac{1}{x^{n}} = x^{-n}$ .

For example, in this question:

$\displaystyle \frac{1}{p^{2}} = p^{-2}$ .

$\displaystyle \frac{1}{q^{5}} = q^{-5}$ .

Thus, the original expression would be equivalent to:

$\begin{aligned}& \frac{81\, p^{6}\, q^{2}}{3\, p^{2} \, q^{5}} \\ =\; & \frac{81}{3}\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5}) \\ =\; & 27\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5})\end{aligned}$ .

Also make use of the fact that for any $x \ne 0$ , integer $m$ , and integer $n$ :

$x^{m}\, x^{n} = x^{m + n}$ .

Thus:

$\begin{aligned}& 27\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5}) \\=\; & 27\, p^{6 + (-2)}\, q^{2 + (-5)} \\ =\; & 27\, p^{4}\, q^{-3} \\ =\; & \frac{27\, p^{4}}{q^{3}}\end{aligned}$ .

3 0

2 years ago