Multistep Equations
Solve for x:
3(x+2) = 15
3x+6 = 15
3x=9
x=3
Solve for y:
8x+y=6
8x+y=6
-8x -8x
y=-8x+6
What is a system?
Two or more equations with the same set of variables. (Two lines on a graph).
What is the solution to this system?
https://docs.google.com/document/d/1FMMj-bVZVyBdQH-2ONiSvdA6Ai0368lF4qpl_Qfcuh8/edit
(6,2)
Round 267 to the nearest tens.
270
Solve for x:
4x + 5 = 6x -13
5 = 2x -13
18=2x
x=9
Solve for y:
2x-3y=6
2x-3y=6
-2x -2x
-3y=-2x+6
/-3 /-3
y=2/3x-2
What is the solution to a system?
Point on both lines of the system (point where they intersect)
What is the solution to this system?
https://docs.google.com/document/d/1mPHOjWbs8_4ZWv2SAQcU_q1unz3WskUgEJDCQoRISRg/edit
(-5,6)
Round 159.37 to the nearest tenth.
159.4
Solve for y:
4(y-5) +2y = -38
4y -20 +2y = -38
6y - 20 = -38
6y = -18
y = -3
Solve for b:
2ab=c-3
2ab=c-3
/2a /2a
b=(c-3)/2a
What are parallel lines?
Parallel lines are lines that NEVER cross. They have the same slope but different y-intercepts.
What is the solution to the system?
y=-(5/3)x+3
y=-(1/3)x-3
(4.5,-4.5)
For the value 3940.287, which value is in the hundreds place and which value is in the hundredth place?
Hundreds: 9
Hundredth: 8
Solve for x:
2(4x-3)-8=4+2x
x=3
Solve for x:
(x+2)/b=c
(x+2)/b=c
*b *b
x+2=bc
-2 -2
x=bc-2
When does a system have no solution?
When the lines are parallel!
What is the solution to the system?
y=-1
y=-(5/2)x+4
(2,-1)
Round 348.50 to the nearest ones.
349
-3(4x+3)+4(6x+1)=43
x=4
Solve for b:
a2+b2=c2
a2+b2=c2
-a2 -a2
b2=c2-a2
sqrt(b2)=sqrt(c2-a2)
b=sqrt(c2-a2)
When does a system have an infinite amount of solutions?
When the lines are overlapping because they share all their points. Lines will have the same slope and same y-intercept.
What is the solution to the system?
4x – y = 4
2x + y = -4
(0,-4)
Round 249.998 to the nearest tenth.
250.0