23nathanshafero 23nathanshafero
  • 15-06-2021
  • Mathematics
contestada

A system of equations is shown below:

y = 3x − 7
y = 2x + 1

What is the solution to the system of equations?

(8, 17)
(−8, 17)
(−8, −17)
(8, −17)

Respuesta :

Leora03
Leora03 Leora03
  • 15-06-2021

Answer:

(8, 17)

Step-by-step explanation:

y= 3x -7 -----(1)

y= 2x +1 -----(2)

Substitute (1) into (2):

3x -7= 2x +1

Being x terms to one side, constant to the other:

3x -2x= 7 +1

x= 8

Substitute x= 8 into (2):

y= 2(8) +1

y= 16 +1

y= 17

∴ The solution is (8, 17).

Answer Link

Otras preguntas

political Science is the study of economic systems and how they are formed? true or false
Which organ is NOT affected by fetal alcohol syndrome? a Kidneys b Pancreas c Heart d Liver
What effect does stimulants have on the brain
During the Civil War, the Union benefitted from a steady stream of new immigrants, some of whom fought in the war. What kept the South from enjoying the same me
X = $ 70,000 + $90,000
is it anorexia nervosa, bing-eating disorder, abnormally low body mass index (BMI), abnormally high body mass index (BMI)
A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. What is the length of the rectangle?
Solve this system equations by graphing y=-x-2
There are only red buttons, yellow buttons and orange buttons in a jar. The number of red buttons, the number of yellow buttons and the number of orange buttons
What is a series of rough sketches that plan the action for an animated feature?