WinstenB765047 WinstenB765047
  • 03-11-2022
  • Mathematics
contestada

Use the substitution method to solve the system of equations.3x + 2y = 13y = x - 1O A. (2,1)O B. (2,3)O C. (3,2)O D. (1,2)

Respuesta :

JerranS345487 JerranS345487
  • 03-11-2022

3x + 2y = 13

y = x - 1

We want to substitute the second equation into the first equation.

In the first equation, everytime we see "y" substitute x-1

3x +2y = 13

3x + 2( x-1) = 13

Distribute

3x +2x -2 = 13

Combine like terms

5x -2 = 13

Add 2 to each side

5x-2+2 = 13+2

5x = 15

Divide each side by 5

5x/5 = 15/5

x = 3

Noe we can find the value of y by using the second equation

y = x-1

y = 3-1

y =2

The solution is

( 3,2)

Answer Link

Otras preguntas

Why did the Sons of Liberty organize the Boston Tea Party? How did the British react to the Boston Tea Party?
What's 20% as a decimal?
name a number that is a rational number, but not an integer. Justify your response.
"A pair of shoes that costs $40 was marked up by 25%. What was the markup and what is now the selling price. Show your work."
Maria rode her bicycle 5 3/4 miles in 3/4 hour. What is her average speed in miles per hour?
write the numbers 3,2,8 in an addition sentence
monkey throws a banana horizontally from the top of a tree .The banana hits the ground 3 second later and 30 meter from the base of the tree...... 1. How fast
36 is 0.9% of what number w?
Who wrote the poem "Annabel Lee"? Henry Wadsworth Longfellow Edgar Allan Poe Samuel Taylor Coleridge William Blake
write 9 as a fraction with 7 in the num denominator