MATHEMATICS HIGH SCHOOL

HELP PLS this is my last question

Answers

Answer 1

Answer:

Answer:

The solutions to the system of the equations are:

$y=1,\:x=3$

Step-by-step explanation:

Given the equations

$y=(2)/(3)x-1;\:y=-x+4$

solving the system of equation

$\begin{bmatrix}y=(2)/(3)x-1\n y=-x+4\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-(2)/(3)x=-1\n y+x=4\end{bmatrix}$

$y+x=4$

$-$

$\underline{y-(2)/(3)x=-1}$

$(5)/(3)x=5$

$\begin{bmatrix}y-(2)/(3)x=-1\n (5)/(3)x=5\end{bmatrix}$

solving for x

$(5)/(3)x=5$

$5x=15$

Divide both sides by 15

$(5x)/(5)=(15)/(5)$

$x=3$

$\mathrm{For\:}y-(2)/(3)x=-1\mathrm{\:plug\:in\:}x=3$

$y-(2)/(3)\cdot \:3=-1$

$y-2=-1$

Add 2 to both sides

$y-2+2=-1+2$

$y=1$

Therefore, the solutions to the system of the equations are:

$y=1,\:x=3$

Related Questions

Plz help me answer this i dont need an explanation
Alessandro wrote the quadratic equation –6 = x2 4x – 1 in standard form. what is the value of c in his new equation?
Using the quadratic formula to solve 2x^2 = 4x – 7, what are the values of x?
-(pi/4)sin(pix/4) solve for x, x >(or equal to) 0 x <(or equal to) 10
Find the missing number 32/52= ?/13

What is the value of 36x-8y2 when x=3 and y=-6

Answers

Assuming that the 2 after the y means squared...

36x3=108
-6x-6=36
8x36=288
108-288=-180

If (m, 1) is on a circle with center (8, 1) and radius 7, what is a value of m?A)m=1
B)m=-1
C)m=14
D)m=-8=-+sqrt33

Answers

A) m=1

The equation for the circle is:

(x-8)^2 + (y-1)^2 = 49

If we take 'y' as 1, then

(x-8)^2 + 0 = 49

x-8 = √49

x = ±7 + 8

x = 15 or x = 1

Which series of transformations would result in a figure that is congruent to the triangle ABC? rotation of 180° clockwise about the origin and then dilation with a scale factor of -1, centered at the origin rotation of 180" clockwise about the origin and then dilation with a scale factor of 2, centered at the origin reflection across the line y = x and then dilation with a scale factor of -3, centered at the origin translation 3 units to right and then dilation with a scale factor of 3, centered at the origin

Answers

Answer:it is rotation of 180 clockwise about the origin and then dilation with a scale factor of -1 centered at the origin

Step-by-step explanation:

Answer:

I think it’s C

Step-by-step explanation:

Quinzel earns $1,254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month? A. $62.70 B. $627.20 C. $250.80 D. $245.72

Answers

The answer is C. 250.80

change the percent to a decimal (0.20) and multiply 1,254x0.20=250.80

I’m trying to do this equation but don’t know where the 2 came from when you square it. Can somebody explain where the 2x come from? The 2x on the right side

Answers

okay so at the bottom it says square both sides so you have to square (x+1). when you do that you're basically just doing (x+1)(x+1) and you just use the foil method and end up with x^2 + 2x + 1

a company sells tablet computers and phones. it sells a total of 150 items this month. the number of tablets sold is half of the number of phones sold. the company makes profit of $300 on each tablet and $400 on each phone. what is the profit the company makes this month?

Answers

Answer:

$52500 this month

Step-by-step explanation:

150 divided by 2 = 75

$75 x 300 = 22500

$75 x $400 = 30000

$22500

+ $30000

_________

$52500

Other Questions

Please help with these.

What is the domain and range of y=6?

What is the answer to 9/8= g+1/2

What best describes the solution 0=15?