Solve the following pairs of simultaneous equations by substitution.
check that your solutions satisfy both equations.
a. y= x – 2 b. y = 2x + 6
y = 3x + 4 y = 4 - 2x c. y = x +1 d. y = x - 2
x + y = 3 3x + y = 14
e. y = 2x + 1 f. y=1 - 2x
x + 2y = 12 x + y = 2

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x