Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x + y = 10 y = x – 5 A. (5, 0) B . (7, 2) C. (9, –8) D. (8, –6)
2 answers:
Answer:
A ) ( 5 ,0 ) .
Step-by-step explanation:
Given : 2x + y = 10
y = x – 5.
To find : Use the substitution method to solve the system of equations.
Solution : We have given
2x + y = 10 -------(1)
y = x – 5---------(2).
Plug y = x -5 in equation 1
2x + x - 5 = 10 .
3x -5 = 10 .
On adding both sides by 5 .
3x = 10 + 5 .
3x = 15
On dividing by 3 both sides
x = 5 .
Now, plug x = 5 in equation 2
y = 5 -5
y= 0 .
( 5 ,0 )
Therefore, A ) ( 5 ,0 ) .
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Answer:
<u>∠AEB = 72° </u>
Step-by-step explanation:
<u>Finding x</u>
∠AEB = ∠DEC (Vertically opposite angles) 7x - 5 = 2(4x - 8) 7x - 5 = 8x - 16 8x - 7x = -5 + 16 x = 11
<u>Finding ∠AEB</u>
7x - 5 7(11) - 5 77 - 5 <u>∠AEB = 72° </u>
