Hakai147 Hakai147
  • 01-07-2021
  • Mathematics
contestada

use the substitution method to solve the system of equations

3x+2y=13

y=x-1

Respuesta :

emanshahzadi929
emanshahzadi929 emanshahzadi929
  • 01-07-2021

Answer:

[tex]x=3\\y=2[/tex]

Step-by-step explanation:

[tex]3x+2y=13\\y=x-1[/tex]

Solve for [tex]y=x-1[/tex] for y:

[tex]y=x-1[/tex]

Substitute [tex]x-1[/tex] for y in [tex]3x+2y=13[/tex]:

[tex]3x+2y=13[/tex]

[tex]3x+2(x-1)=13\\[/tex]

[tex]5x-2=13[/tex]

[tex]5x=13+2[/tex]

[tex]5x=15[/tex]

[tex]x=15/5[/tex]

[tex]x=3[/tex]

Substitute 3 for x in [tex]y=x-1[/tex]:

[tex]y=x-1[/tex]

[tex]y=(3)-1[/tex]

[tex]y=2[/tex]

[tex]x=3[/tex] and [tex]y=2[/tex]

hope this helps...

Answer Link

Otras preguntas

One-third of a number yields twelve. Which equation could be used to find the number? 3n = 12 n = 12 n = -12 3n = -12
How did balboas search for direct route to Asia differ from Magellan’s voyage
This map depicts A) the greatest extent of the Mongol Empire. B) the area conquered by the Abbasid Empire. C) the greatest extent of the empire of Alexander
How is mass conserved in photosynthesis?
Evaluate p -q for p = 34 and q = -35
Where should you look to quickly find factual information on the causes of the American civil war
What are the key components of maps? Multiple Answers are Required! A. Projection B. Scale Bar C. Key D. Compass Rose
What can you do to creat more space for a pie chart
Teresa bought 3boxes of chocolate each box has 9 pieces of chocolate inside teresa gave away 15 pieces of chocolate how many pieces of chocolate does she have l
what two offices did roosevelt hold in new york ? some help meeee