avalanier12 avalanier12
  • 11-02-2021
  • Mathematics
contestada

What is the solution to the system of equations?

6 x + 2 y = 6. 7 x + 3 y = 5.

Respuesta :

ImagineCloud
ImagineCloud ImagineCloud
  • 11-02-2021

Answer:

x = 2, y = -3

or

(2, -3)

Step-by-step explanation:

6x + 2y = 6

7x + 3y = 5

multiply the first equation by -3 and the second equation by 2 and solve by elimination

6x + 2y = 6

becomes

-18 - 6y = -18

7x + 3y = 5

becomes

14x + 6y = 10

then, add the new equations.

-18x - 6y = -18

14x + 6y = 10

-4x + 0 = -8

-4x = -8

4x = 8

x = 2

then, substitute x for 2 in one of the eqautions.

6x + 2y = 6

12 + 2y = 6

2y = 6 - 12

2y = -6

y = -3

Answer Link

Otras preguntas

Laura cuts 64 inches of ribbon into two parts and give her mom one part. Laura's part is 28 inches long. Her mom cuts her ribbon into 6 equal pieces. How long i
Convert the credit card rate to the APR.  Oregon 2/14% per month.
What is the volume of a circular mine passage that is 19.0 feet in diameter and 210.0 feet long?
Angle 1 and angle 2 are a linear pair. Measure of angle 1 = x-36, and measure of angle 2 = x+84. Find the measure of each angle.
What type of simple machine is a saw?
Translate the word phrase into a variable expression. The quotient of a number and 3 is decreased by 1.
The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C? I 11 II 1 III 7
Who enforced national laws during the period of the Articles of Confederation?
How do you find perimeter
Who enforced national laws during the period of the Articles of Confederation?