Download Systems of equations

Systems of equations.
Determine if the point (1, 5) is a solution to the system of equations.
5x – 2y = -5
5(
) – 2(
) = -5
3x – 7y = - 32
3(
) – 7(
) = -32
Determine if the point (2, 4) is a solution to the system of equations.
3y – 2x = - 2
3(
y + 2x = 8
(
) – 2(
) + 2(
) = -2
)=8
Graph y = 2x – 1
Plugging in values for x we find three solutions
Let x = 0
y = 2( ) – 1
(0, -1)
Let x = -1
y = 2( ) – 1
(-1, -3)
Let x = 1
y = 2( ) – 1
(1, 1)
Graph.
3
x+1
2
1
5
y=
x –
4
2
y=
y=
3
(
2
)+1
y=
1
(
4
)–
5
2
y=
3
(
2
)+1
y=
1
(
4
)–
5
2
y=
3
(
2
)+1
y=
1
(
4
)–
5
2
Solve this system of Equations by Graphing
y=x+2
y=x–1
y=(
)+2
y=(
)–1
y=(
)+2
y=(
)–1
y=(
)+2
y=(
)–1
Solve by Graphing.
y=
1
x+2
3
–x + 3y = 6
y=
1
(
3
)+2
–(
) + 3(
)=6
y=
1
(
3
)+2
–(
) + 3(
)=6
y=
1
(
3
)+2
–(
) + 3(
)=6
Graph.
Equation 1: x – y = 2
Equation 2: x + y = 6
Solve for y, get y alone,
move the x term to the other side.
x–y=2
x+y=6
Solve by Graphing.
y=x–5
2x + y = 4
Solve this system of Equations using the Substitution Method.
y=x–6
x + y = -2
x+(
) = -2
Solve this system of equations using substitution.
x–y=-3
2x + 3y = - 6
Get x alone: x – y = -3
2(
) + 3y = -6
Solve this system of equations using substitution.
y – 2x = – 6
2y – x = 5
Get y alone,
y – 2x = – 6
Solve.
y = 4x – 5
2x – 3y = -5
y=x–4
y = 2x
Solve this system of Equations using the Addition Method.
x+y=8
- x + 2y = 7
Solve this system of Equations using the Addition Method.
3x – y = 8
x + 2y = 5
Solve this system of Equations using the Addition Method.
2w – 3z = - 1
3w + 4z = 24
Solve these systems of equations by using the addition method (for both x and y).
2x – 3y = -8
4x + 5y = 6
2x + 5y = -4
3x – 2y = 13