answer this question in the following order
Examine the different equations that follow:
1. y=5x–4
2. y=–2x+3
3. y=3x+1
4. 2y=6x+2
5. y–5x=+2
6. y–4x+1=0
7. y=5x
Complete steps a. through e. to determine which pair of equations form a system
with one solution, no solution, or infinite solutions.
a. Solve each equation and make sure it is in y=mx+b format.
1. y=5x-4
2. y=-2x+3
3. y=3x+1
4. 2y=6x+2
5. y-5x=2
6. y-4x+1=0
7. y=5x
b. Convert equation 4 to y=mx+b format:
Divide by 2 on both sides:
y=3x+1
c. Convert equation 5 to y=mx+b format:
Add 5x to both sides:
y=5x+2
d. Convert equation 6 to y=mx+b format:
Add 4x and 1 to both sides:
y=4x-1
e. Comparing the equations in y=mx+b format, we see that equations 3 and 6 have the same slope but different y-intercepts. Therefore, this pair of equations form a system with no solution.
but u didnt even solve the solutions :(
can u answer all the questions in the order of the equations?
Sure, I apologize for that oversight. Here are the answers to the questions in the order of the equations provided:
1. y=5x-4
2. y=-2x+3
3. y=3x+1
4. 2y=6x+2
5. y-5x=2
6. y-4x+1=0
7. y=5x
a. Solve each equation and make sure it is in y=mx+b format:
1. y = 5x - 4
2. y = -2x + 3
3. y = 3x + 1
4. y = 3x + 1 (from equation 4)
5. y = 5x + 2 (by moving 5x to the other side in equation 5)
6. y = 4x - 1 (by moving 4x and 1 to the other side in equation 6)
7. y = 5x
b. Comparing the equations in y=mx+b format, we see that equations 3 and 6 have the same slope but different y-intercepts. Therefore, this pair of equations form a system with no solution.