All categories

2 years ago

Solve the system of equations. y=-3x+4 -4x+y=-10

Mathematics

2 answers:

aksik [14]2 years ago

8 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$y = - 3x + 4$

Add sides 3x

$y + 3x = 3x - 3x + 4$

$3x + y = 4$

_________________________________

$1) \: 3x + y = 4$

$2) \: - 4x + y = - 10$

Multiply sides of the (( equation 2 )) by - 1

$1) \: 3x + y = 4$

$2) \: 4x - y = 10$

Add up equations

$3x + 4x + y - y = 4 + 10$

$7x = 14$

Divide sides by 7

$\frac{7x}{7} = \frac{14}{7} \\$

$x = 2$

Put the value of x in one of the (1) or (2) equations to find the value of y .

I put it in equation 1 :

$3x + y = 4$

$3(2) + y = 4$

$6 + y = 4$

$y + 6 = 4$

Subtract sides 6

$y + 6 - 6 = 4 - 6$

$y = - 2$

And we're done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Angelina_Jolie [31]2 years ago

7 0

Answer:

Step-by-step explanation:

In this particular case we have the following system of equations:

−

[

]

−

[

]

Substituting

[

]

[

]

(

−

)

−

Applying the distributive property on the left side:

−

Simplifying

−

Solving for

−

Substituting

[

]

−

(

)

−

Therefore

, the solutions are

and

−

You might be interested in

I need a little help here please

erma4kov [3.2K]

Answer:

Plot points at (0,1) and (-3,3) and draw a line going through both points.

Step-by-step explanation:

Let's start by graphing the y intercept.

y=mx+b

m is the slope. b is the y intercept. Since the equation is y=-2/3x+1, we can conclude the y intercept is 1. We graph a point at (0,1).

If you didn't know the y intercept is where the line intercepts the y-axis.

Now, from the point (0,1) we go up 2 and to the left 3 as it is a negative slope. We reach (-3,3). Plot a point there. Then draw a line going through both points. There's your line!

3 0

1 year ago

A survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. a) If we pick one athlete survey pa

PSYCHO15rus [73]

Answer:

A) $\dfrac{11}{23}$

B) $\dfrac{88}{345}$

Step-by-step explanation:

A survey of 46 college athletes found that

24 played volleyball,
22 played basketball.

A) If we pick one athlete survey participant at random, the probability they play basketball is

$P_1=\dfrac{22}{46}=\dfrac{11}{23}$

B) If we pick 2 athletes at random (without replacement),

the probability we get one volleyball player is $\dfrac{24}{46}=\dfrac{12}{23};$
the probability we get another basketball player is $\dfrac{22}{45}$ (only 45 athletes left).

Thus, the probability we get one volleyball player and one basketball player is

$P_2=\dfrac{12}{23}\cdot \dfrac{22}{45}=\dfrac{88}{345}$

5 0

3 years ago

If sin(theta) =4/5 and is in quadrant 2, the value of cot(theta

iren [92.7K]

$\sin\theta= \frac{4}{5} 
\\
\\\sin^2\theta+\cos^2\theta=1
\\ \cos\theta=\pm \sqrt{1-\sin^2\theta} =\pm \sqrt{1-( \frac{4}{5})^2 } =\pm \sqrt{1- \frac{16}{25} } =\pm \sqrt{\frac{9}{25} }=\pm \frac{3}{5}}$

$\theta \in II \Rightarrow \cos\theta\ \textless \ 0 \Rightarrow \cos\theta=-\frac{3}{5}$

$\cot\theta= \frac{\cos\theta}{\sin\theta}= \frac{-\frac{3}{5}}{\frac{4}{5}} =- \frac{3}{4}$

5 0

2 years ago

To multiply a decimal number by 1000 move the decimal point

KengaRu [80]

You'll have to move the decimal point to the right as many places as there are zeros in the factor,then you'll have to move the decimal point one step to the right (10 has one zero),and move the decimal point two steps to the right (100 has two zeros).

5 0

2 years ago

Read 2 more answers

Please help NOW!!!! 20 Points! how is this number expressed in decimal notation? 2 x 10-5

Sonbull [250]

1.5 × 10 to the 1 st power

4 0

2 years ago

Read 2 more answers

Solve the system of equations. y=-3x+4 -4x+y=-10​

Solve the system of equations. y=-3x+4 -4x+y=-10