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WorksheetsSolving Systems using substitution
Total questions: 14
Worksheet time: 1hrs 12mins
y = -4x + 5
y = 3x - 16
-3x - 6y = 24
x = -3y - 17
2x + 3y = -7
The first step in solving using the substitution method is __________.
get x by itself
get y by itself
get either variable by itself in one equation
add the equations together
-4x + 4y = 8
y = -2x - 10
Solve:
y = 7x + 7
2y + 2x = -18
(5, 0)
(9, 18)
(-2, -7)
(1, 16)
6x = y
3y - 4x = 42
(3, 18)
(8, 2)
(2, 8)
(1, 6)
No Solution
(2, 2)
(-1, 2)
(-1, -2)
When you solve the system using substitution, you substitute x into the top equation, the substitution would look like....
-6y + 5y = 17
x + 2y + 5y = 17
-5x + 5y = 17
-5y + 17 = 2y
Which answer has a correct first step for this system:
3x + 3y = 3
y = 3x + 5
The variable is already isolated, so we've already solved the system.
The variable is already isolated for y, so we substitute it in the first equation and solve for x
3x + 3(3x + 5) = 3
impossible
The variable is already isolated for y, so we substitute it in the second equation and solve for x
y = 3(3x + 3y) = 3
Solve the system of equations.
(-6, 1)
(0, 0)
(1, -6)
No solution
Infinite solutions
