MykaylaQ141186 MykaylaQ141186
  • 03-11-2022
  • Mathematics
contestada

Which of the following is the value of y that solves the system of equations shown below?
(1) -5
(3) 6
3x + 4y = 16
(2) 8
(4) -2
x + y =16

Respuesta :

AdeleineB762943 AdeleineB762943
  • 03-11-2022

Answer:

(4) -2

Explanation:

Given the system of equations:

[tex]\begin{gathered} 3x+4y=16 \\ x+y=6 \end{gathered}[/tex]

Set x as the subject in the second equation: x=6-y

Substitute x=6-y into the first equation:

[tex]\begin{gathered} 3x+4y=16 \\ 3(6-y)+4y=16 \\ 18-3y+4y=16 \\ y=16-18 \\ y=-2 \end{gathered}[/tex]

The value of y that solves the system of equations is -2.

Answer Link

Otras preguntas

Read the following passage from " The Gift of the Magi" .Then, answer the following questions: Della finished her cry and attended to her cheeks with the powder
there is no law of conservation​
what might a southern governor do if he or she wanted the business to move into his or her state? A. offer contract labor B. build new roads and airports C. re
Color Field painters show what in their artwork?
Which of the following occurs when a catalyst is used in a chemical reaction? A. the catalyst speeds up the rate of the chemical reaction B. the catalyst always
i need help pleaseee
Spanish and Portuguese arethe main languages is what​
What is English mean?​
which value is greater than 0.4A) 9%B) 0.125C) 7.8 x 10^2D) 7/16​
Which could be the function graphed below? ​