kobedelatorre
kobedelatorre kobedelatorre
  • 24-09-2020
  • Mathematics
contestada

what is the solution to this system?
3x+2y=45
4x+-y=5

Respuesta :

cromulent
cromulent cromulent
  • 25-09-2020

(I) [tex]3x + 2y = 45[/tex]

(II) [tex]4x - y = 5[/tex]

Get [tex]y[/tex] alone in equation (II)

[tex]4x - y = 5\\y = 4x - 5[/tex]

Insert new equation (II) in equation (I)

[tex]3x + 2(4x - 5) = 45\\3x + 8x - 10 = 45\\3x + 8x = 45 + 10\\11x = 55\\x = 5[/tex]

Insert [tex]x = 5[/tex] in equation (II)

[tex]y = 4 \cdot 5 - 5\\y = 20 - 5\\y = 15[/tex]

Answer Link

Otras preguntas

why do allies agree to focus on europe before asia during world war. ll
What is the main idea of the poem a boy's song
Correct the sentence by selecting the correct pronoun usage. I would not want to be Rita or her. them Rita or she she or her correct as is
The distance from Jason's house to school is 0.5 kilometer. What is this distance in meters?
30b^4 - 45b^3 - 10b^2 + 15b factor this expression with work please?
How many fives in 308
how did the great compromise settle a debate?
2. ASHI standards require a home inspector to identify and describe the type of structure and materials of construction before A. evaluating each system. B. e
The anode-ray tube is an application of the Biot-Savart law. True or False
Find two mixed numbers so that the sum is 21 1/6 and the difference is 4 3/6