All categories

2 years ago

Solve the system of equations 2y - 3x = -27 5y + 3x = 6 PLEASE EXPLAIN STEPS! (photo included)

Mathematics

2 answers:

lisov135 [29]2 years ago

8 0

Answer:

x=7 y= -3

Step-by-step explanation:

When you ADD both the x variable is cancelled

since -3x + 3x = zero

then you solve for y And when you plug the value of y you will solve x

2y-3x =-27

5y+3x =6

ADD BOTH

7y = -21

y = -3

PLUG y

5(-3)+3x = 6

-15 + 3x = 6

3x = 21

x=7

Solnce55 [7]2 years ago

6 0

Answer:

(7, -3)

Step-by-step explanation:

Add the two equations to eliminate x:

7y = -21

Then solve 7y = −21 for y:

$\frac{7y}{7}$ = $\frac{-21}{7}$ (Divide both sides by 7)

y = -3

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2y - 3x = -27

Substitute -3 for y in 3y - 3x = -27:

(2)(-3) - 3x = -27

-3x - 6 = -27 (Simplify both sides of the equation)

-3x - 6x + 6x = -27 + 6 (Add 6 to both sides)

-3x = -21

$\frac{-3x}{-3}$ = $\frac{-21}{-3}$ (Divide both sides by -3)

x = 7

You might be interested in

Solve the following problems using 5-D process part 2

svet-max [94.6K]

The two problems are almost identical: you have to set up a system, and then solve it.

In the first case, let $g$ and $b$ be, respectively, the number of girls and boys.

We know that $g=2b+4$ (the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that $g+b=61$ (there are 61 students in total).

So, we have the system

$\begin{cases}g=2b+4\\g+b=61\end{cases}$

We can use the first equation to substitute in the second

$g+b=61 \iff (2b+4)+b=61 \iff 3b+4=61 \iff 3b=57 \iff b=19$

And then solve for $g$ :

$g=2b+4=2\cdot 19+4=38+4=42$

For the second problem, let $c$ and $j$ be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system

$\begin{cases}c=j+12\\c+j=230\end{cases}$

And you can solve it in the very same way we solved the previous one.

5 0

2 years ago

Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit

NeTakaya

Answer:

Pressure is 80,000 pascals.

Step-by-step explanation:

Area:

$= { \bf{ 30 \times {10}^{ - 4} \: {m}^{2} }}$

Pressure:

${ \bf{pressure = \frac{force}{area} }} \\ \\ { \tt{ = \frac{240}{30 \times {10}^{ - 4} } }} \\ = { \tt{80000 \: pascals}}$

4 0

2 years ago

jake can carry 6 1/4 pounds of wood in from the barn. His father can carry 1 5/7 times as much as Jake. How many pounds can Jake

Studentka2010 [4]

It would be: 6 1/4 * 1 5/7
= 25/4 * 12/7
= 300/28 = 150/14 = 75/7

In short, Your Answer would be 75/7 or 10 5/7 Pounds

Hope this helps!

4 0

2 years ago

The coordinates of the vertices of ANGLE RST are R(-3,5), and S(4,5), and T(4,-2). Find the side lengths to the nearest hundredt

e-lub [12.9K]

Side lengths: RS=7 and ST=7, and angle=90 degrees

Why?

Since second coordinates of R and S are the same so we can just count the length by adding first coordinate of R and first coordinate of S= |-3|+4=7

Since first coordinates of R is the same as first coordinate of T so we can just count the length by adding second coordinates of S and T=5+|-2|=7

Angle: RST is =90 degrees because triangle RST is right angled triangle. Why? Because RS is parallel to X axis(the same second coordinates of R and S) and ST is parallel to Y axis(the same coordinates of S and T) .

6 0

2 years ago

Is the sequence 1, 5, 9, 13, 17, 21, ... arithmetic? If so, find the common difference. /(5 pts)

VikaD [51]

Answer:

Common difference is 4

Step-by-step explanation:

25 , 29, 33,37,41

7 0

1 year ago

Read 2 more answers