3. how many solutions does the system of equations have?
3x = -12y + 15 and x + 4y = 5
a. one
b. two
c. infinitely many
d. none

4. how many solutions does the system of equations have?
y= 5x + 7 and y = 5x + 8
a. one
b. two
c. none
d. infinitely many

5. how many solutions does the system of equations have?
x-3y = 15 and y = 1/3x - 5
a. one
b. two
c. none
d. infinitely many

6. y - 5x = -6
y - 5x = -4
a. one
b. two
c. infinitely many
d. none

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.