In a system of linear equations, the location where the graphs intersect is referred to as the _____________ to the system.
What is solution or the ordered pair.
100
y = 4
y = -7x -3
(-1, 4)
100
Solve by substitution:
y=4
x-y=-4
What is (4,8)?
100
Show the first step for substitution into the second equation:
3x + 4y = 10
y = 10 + x
3x + 4(10 + x) = 10
100
What is is the best first step to solve this system of equations?
3x=12
2x-7y=14
Isolate the variable and get x=4
200
___________ are letters that represent unknown numbers or values.
What is a variable?
200
y = 1/3x - 2
y = 2x - 2
(3, 4)
200
x = -4
y - x = 10
(-4, 6)
200
Show the first step for substitution into the second equation:
x= 4 - y
3x + 4y = 10
3(4-y) +4y = 10
200
Isolate the variable that would be best for substitution:
-2y=18
3x + 2y = 12
The best variable would be y =-9
300
In a system of equations, this is the best method to use when one of the equations is already solved for one of the variables. Graphing or substitution?
What is the substitution method.
300
y = 1/3x - 4
y = -7/3x + 4
(3, -3)
300
x = 3
-3x + y = -18
(3 , -9)
300
Show the first step for substitution into the second equation:
y= 5 - x
-4x + 4y = 10
-4x+ 4(5 - x) = 10
300
Rearrange the equation for y:
-2y - 4 = 6 + 2x
y = -5 - x
400
In Algebra _____________ means putting numbers where the letters are.
What does substitution mean ( in algebra)?
400
y=-2/3x-2
y=-8/3x+4
(3, -4)
400
Solve by substitution:
2x = - 6
y = 2x + 4
(-3, -2)
400
Solve by substitution:
x= y + 2
3x + 5y = -10
(0 ,-2)
400
Solve the system of equations:
2x+y =-16
3x=-21
(-7,-2)
500
I use __________ ___________ to solve for variables in an equation.
opposite operations
500
y=-2/3x + 4
y= -2/3x - 3
no solution
500
Solve:
2x - 3y = 9
4y = 28
( 15, 7)
500
Use substitution to solve:
y = x - 2
3y - 2x = 1
(7, 5)
500
Isolate the variable and solve this system:
3x = 24
2x-3y=8