$MathMaster logo$

MathMaster

Home
general
6x 6y 6 6x 3y 12

Question

-6x+6y=6 -6x+3y=-12

139

likes

695 views

Answer to a math question -6x+6y=6 -6x+3y=-12

$Expert avatar$

4.6

102 Answers

To solve this system of equations, we can use the method of elimination.

Step 1: Multiply the second equation by 2 to make the coefficients of x in both equations the same:

-6x + 3y = -12
-6x + 6y = 6

Step 2: Now we can eliminate the x terms by subtracting the second equation from the first:

(-6x + 6y) - (-6x + 3y) = 6 - (-12)
-6x + 6y + 6x - 3y = 6 + 12
3y = 18

Step 3: Simplify the equation:

3y = 18

Step 4: Solve for y by dividing both sides of the equation by 3:

\frac{{3y}}{{3}} = \frac{{18}}{{3}}

y = 6

Step 5: Substitute the value of y back into one of the original equations. Let's use the first equation:

-6x + 6y = 6
-6x + 6(6) = 6
-6x + 36 = 6

Step 6: Solve for x:

-6x = 6 - 36
-6x = -30
x =

\frac{{-30}}{{-6}}

x = 5

Answer: The solution to the system of equations is x = 5 and y = 6.

Frequently asked questions (FAQs)

What is the angle equality condition for two triangles to be congruent?

+

What is the maximum value of the cosine function for any angle in degrees?

+

What is the measure of the third angle in an isosceles triangle if one angle is 65°?

+

New questions in Mathematics

Convert the following function from standard form to vertex form f(x) = x^2 + 7x - 1

I want to divide R$ 2200.00 between Antônio, Beto and Cássia, so that Beto receives half from Antônio and Cássia receives a third of Beto. Under these conditions, how much more will Beto receive than Cássia?

Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.

The beta of a company is 1.51 while its financial leverage is 27%. What is then its unlevered beta if the corporate tax rate is 40%? (4 decimal places)

In a store, a person carries 14 kilos of rice and 28 kilos of flour. In what ratio are the kilos found? (Remember to simplify until you reach an irreducible fraction)

Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6

(1) July 1, 2008: Receives $25,000 from Quinn Zealick for 25,000 shares of the stock common face value $1 from the bookstore. (2) July 1, 2008: Obtains $30,000 loan from local bank for needs of working capital. The loan earns 6% interest per year. The loan is payable with interest on June 30, 2009. (3) July 1, 2008: Sign a three-year rental agreement at an annual rent of $20,000 Pay the first year's rent in advance. (4) July 1, 2008: Purchases shelves for $4,000 in cash. The shelves have an estimated useful life of five years and zero residual value. (5) July 1, 2008: Purchase computers for $10,000 in cash. The computers They have an estimated useful life of three years and $1,000 in residual value. (6) July 1, 2008: Makes guarantee deposits with various book distributors for a total of $8,000. Deposits are refundable on June 30, 2009 if the bookstore pays on time all amounts payable for books purchased from distributors between July 2008 and June 30, 2009. (7) During 2008: Purchases books on account from various distributors for a cost of $160,000. (8)During 2008: Sells books costing $140,000 to $172,800. Of the total sales, $24,600 corresponds to cash and $148,200 is on account. (9) During 2008: Returns unsold books and books ordered in error for a cost of $14,600. The company had not yet paid for these books. (10) During 2008: Collected $142,400 from sales on account. (11) During 2008: Pays employees salaries of $16,700. (12) During 2008: Pays $139,800 to book distributors of the amounts payable for purchases on account. (13) December 28, 2008: Receives customer advances of $850 due to order books special that the bookstore will order and expects to receive during 2009. (14) December 31, 2008: Record the corresponding amount of interest expense on the loan in (2) for 2008. (15) December 31, 2008: Record the corresponding amount of rental expense for 2008. (16) December 31, 2008: Record the corresponding amount of depreciation expense on the shelves in (4). (17) December 31, 2008: Record the corresponding amount of depreciation expense about computers in (5). (18) December 31, 2008: Record the corresponding amount of income tax expense. profits for 2008. The income tax rate is 40%. The taxes are paid on March 15, 2009. (1) March 15, 2009: Pays 2008 income tax. (2) June 30, 2009: Pay off the bank loan with interest. (3) July 1, 2009: Obtains a new bank loan for $75,000. He loan is payable on June 30, 2010, with 8% interest payable to the expiration. (4) July 1, 2009: Receives security deposits from book distributors. (5) July 1, 2009: Pay the rent corresponding to the period from July 1 2009 to June 30, 2010. (6) During 2009: Purchase books on account for a cost of $310,000. (7)During 2009: Sold books for a cost of $286,400 for $353,700. Of the total sales, $24,900 corresponds to cash, $850 corresponds to special orders received during December of 2008 and $327,950 are on account. (8) During 2009: Returns unsold books at a cost of $22,700. The company has not yet I had paid for these books. (9) During 2009: Collects $320,600 from sales to accounts. (10) During 2009: Pays employees compensation of $29,400. (11) During 2009: pays $281,100 to book distributors for book purchases from account. (12) December 31, 2009: Declares and pays a dividend of $4,000.

In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24

Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.

Find the minimum value of the function y = -4 x3 + 60 x2 -252 x + 8 for values of x between x = 0 and x = 9 Enter the value of the function, not the value of x

MAKING AN ARGUMENT You use synthetic division to divide f(x) by (x − a) and find that the remainder equals 15. Your friend concludes that f (15) = a. Is your friend correct? Explain your reasoning.

Find the number of pounds of nails required for 17850 square feet of drywall if each thousand square feet requires 4.5 pounds of nails.

How to convert 45 kg into grams

16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.

Translate to an equation and solve. Let x be the unknown number: What number is 52% of 81.

A diamond ring was reduced from $999.99 to $689.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if necessary.

The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?