Solve the system of equations
-12x+9y=7
3x+4y=2
Show all workings please

Answer:

x = -2/15 & y = 3/5

Step-by-step explanation:

- 12x + 9y = 7 ...(1) ; 3x + 4y = 2 ...(2)

Multiply both sides of (2) by 4:

12x + 16y = 8

Add the new equation & (1):

12x + 16y = 8

-12x + 9y = 7

0 + 25y = 15 => y = 15/25 = 3/5

Thus, substitute the value of y in (2):

3x + 4y = 2 => 3x = 2 - 4(3/5) = (10-12)/5

=> 3x = -2/5

=> x = - 2/15

Answer:

[tex]x=-\frac{2}{15}=-0.133333333\\y = \frac{3}{5}= 0.6[/tex]

Step-by-step explanation:

−12x+9y=7

3x+4y=2

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

−12x+9y=7,3x+4y=2

To make −12x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −12.

3(−12)x+3×9y=3×7,−12×3x−12×4y=−12×2

Simplify.

−36x+27y=21,−36x−48y=−24

Subtract −36x−48y=−24 from −36x+27y=21 by subtracting like terms on each side of the equal sign.

−36x+36x+27y+48y=21+24

Add −36x to 36x. Terms −36x and 36x cancel out, leaving an equation with only one variable that can be solved.

27y+48y=21+24

Add 27y to 48y.

75y=21+24

Add 21 to 24.

75y=45

Divide both sides by 75.

y=3/5

Substitute 3/5 for y in 3x+4y=2. Because the resulting equation contains only one variable, you can solve for x directly.

3x+4×(3/5)=2

Multiply 4 times 3/5

3x+12/5=2

Subtract 12/5 from both sides of the equation.

3x=-2/5

Divide both sides by 3.

x=-2/15

The system is now solved.

x=−2/15 ,y=3/5

​

How is this triangle classified?

Chris has a six sided die. Create a sample
space of possible outcomes for rolling a number. Is this simple or compound event

What is the common denominator for 7 and 2

There are a total of 82 students in a drama club and a yearbook club. The drama club has 18 more students than the yearbook club. How many students are in the drama club? the yearbook club?

Which of the following is equivalent to 3/33x^3y^6

Math help please. Which rule explains why these triangles are congruent? ( A). ASA (B.) AAS (C.) SAS ( D.) These triangles can not be proven to be congruent

What is the missing length?
7 cm
р
area
56 cm?
HURRY

simplify the expression
-7p + -2 + -2 + -10 + -9​

42 donuts in 6 boxes = donuts per box

!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties for each of these shapes and please be specific for each, a kite, trapezoid, square, rectangle, parallelogram, rhombus?

plzz right aanswer only plzz 10!! ponits

Someone please please help

Five more than twice a number is less than one more six times the number. Do write down an equation or a number?

you have 100$ to buy shirts and jeans. shirts cost 100 dollars each and jeans cost 25 per pair. write an inequality describing the possible numbers of shirts and jeans that you can afford. let x be the number of shirts and y be the number of pairs of jeans

Anna bought snacks for her team's practice. She bought a bag of oranges for $3.27 and a 4-pack of juice bottles. The total cost before tax was $5.03. How much was each bottle of juice?

Answer: $____

The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?

A.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45

B.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45

C.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45

D.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45

A rabbit weighed 4 ounces when it was born. The rabbit gained 2 ounces each week for the next 12 weeks. Which equation models the weight of the rabbit, w, x weeks after it was born, where x ≤ 12?

40 points will give brainliest to the first person that is right what is 12 4/5% written as a decimal

find the value of given expression

[tex] \sqrt{1254 \times 1254} [/tex]
​

HELP!!! NEED HELP!!!!

PLS HELP 10 POINTS
QUESTION IN PIC

somebody help me pleaseeee

please please please helppppppppp
On question 1 of this review, Marcy attempted to solve for the value of x. On the left side of her equation, she simplified the terms to 5x +19 = 5(x -3) +2. What did she do incorrectly? What should she have done to simplify her answer correctly? The original question is below.
3(x+4)-2x+7=5(x+3)+2

Find the missing number to make the fractions equal. ?/11= 12/44

help please!! it’s due today and this is the one answer i still need!! (view picture)

A jar contains x quarters and y nickels. The jar contains $5.45. What linear equation represents the relationship between the number of quarters, the number of nickels, and the value of the coins in the jar?

A culture of bacteria has an initial population of 640 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0
⋅2 t/d , where P_t is the population after t hours, P_0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?

which expression means five times the sum of b and two
A. 5(B+2)
B. 5B+2
C. (B+2) 5
D.B (5+2)​

solve the equation by factoring
plssss hell

How do you do this what the answer to number 12