Solutions by Substitution
x + y = 6 2x + y = 4 Solve the system of equations by substitution.
(-2, 8)
Determine if the equations are intersecting, parallel, or coincident. 2x - y = c x + 2y = d
Intersecting
7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution.
(7/5, 21/10)
2x + y = 7 y = x + 1 When the expression x+1 is substituted in for y in the first equation, the result is
3x + 1 = 7
7x - 2 = 2y 3x = 2y - 1 Solve the system of equations by substitution.
(3/4, 13/8)
Given that the value of b can never be equal to -1, determine if the equations are intersecting, parallel, or coincident. x + y = ab bx - y = a
Intersecting
8y - 1 = x 3x = 2y Solve the system of equations by substitution.
(1/11, 3/22)
5x - 6 = y 2x - 3y = 4 Solve the system of equations by substitution.
(14/13, -8/13)
8x = 2y + 5 3x = y + 7 Solve the system of equations by substitution.
(-9/2, -41/2)
5x - 6y = 0 y = x Solve the system by substitution.
(0, 0)
The substitution method for solving two-order systems involves solving one equation using the terms of the other equation.
True
5x - 2y = 6 x = 5 - y Solve the system of equations by substitution.
(16/7, 19/7)
Determine if the equations are intersecting, parallel, or coincident. bx - ay = 2 ax + by = 3
Intersecting
10x - 10y = 1 x = y - 3 Solve the system of equations by substitution.
no solution
x - y = 6 x = y + 2 Solve the system of equations by substitution.
no solution
3x - y = 2 y = x - 1 When the expression x - 1 is substituted into the first equation for y, the resulting equation is
2x + 1 = 2