MorganC554972 MorganC554972
  • 25-10-2022
  • Mathematics
contestada

use the distribution method to solve the system of equations. enter your answer as an ordered pair. y=7x+6 and y=x+20

Respuesta :

BrynneS141042 BrynneS141042
  • 25-10-2022

y = 7x+6

y = x + 20

Substituting the value of y of the second equation into the first equation, we get:

x + 20 = 7x + 6

20 - 6 = 7x - x

14 = 6x

14/6 = x

7/3 = x

Replacing this value into the first equation, we get:

[tex]\begin{gathered} y=7\cdot\frac{7}{3}+6 \\ y=\frac{49}{3}+6 \\ y=\frac{49+6\cdot3}{3} \\ y=\frac{67}{3} \end{gathered}[/tex]

The solution as an ordered pair is (7/3, 67/3)

Answer Link

Otras preguntas

(Really need help on this one!) Robert has $83.00 and is saving for a new skateboard that costs $125.00. He is able to save $7.00 per week. Write and solve an i
MORE FRACTIONS!! PLEASE HELP!
you are a producer who is hoping to create a specific good
Mozart's last composition, incomplete at his death, was a sacred choral work, the
El príncipe chichimeca y la princesa tolteca se vieron por primera vez en un _____.
the sum of two numbers is 12. the difference of the same two numbers is -4. find the numbers.
Another word for eating
Light from the sun reaches Earth in 8.3min. The speed of light is 3.00 x 10^8 m/s. How far is the Earth from the sun?
If a train is traveling at 72 km/h on a road of 360 km how much time will it take to arrive
Angle c and angle d are supplementary, the measure of angle d is eight times the measure of angle c. find measure of angle c and measure of angle d