Q:

Solve 7x - 2y = -314x + y = 14 (1 point)In the below system, solve for y in the first equation. x - 3y = -62x - 7y = 10 (1 point)What is the value of y in the solution to the following system of equations? 5x - 3y = -112x - 6y = -14 (1 point)Use the substitution method to solve the following system of equations. 3x + 5y = 3x + 2y = 0 (1 point)

Accepted Solution

A:
1. x= -1/7  y=24/7 (use socratic app, because this is too much work)
2. y = 2
3. y = 1/3 (use socratic app, because this is too much work)
4. x=2, y= -1

2) x-3y= -6
 2x-7y=10

x-3y=-6
  +3y +3y

2(-6+3y)-7y=10
-12+6y-7y=10
  -12-y=10
  +12  +12
  -y= -22
  y= -22

4) 5x-3y= -11
2x-6y= -14

3x+5y=3
x-2y=0
  +2y +2y
x=2y (not the answer yet)

3(-2y)+5y=3
 -6y+5y=3
     -1y=3
   -1y/-1 = 3/-1
y= -3
x= 2(-3) = -6