Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

3x + y = 10
y = x - 2

A. (4, 2)
B. (3, 1)
C. (2, 0)
D. (5, 3)

Answer 1

substitute y in equation 3x + y = 10
3x+(x-2)=10

Answer 2

3x+x-2=10
4x-2=10

add 2 on both sides and divide by 4
what's x now ?

Answer 3

\(\Large \color{purple}{\rightarrow 3x + (x - 2) = 10 }\)

\(\Large \color{purple}{\rightarrow 3x + x - 2 = 10 }\)

\(\Large \color{purple}{\rightarrow 3x + x = 12 }\)

\(\Large \color{purple}{\rightarrow 4x = 12 }\)

\(\Large \color{purple}{\rightarrow x = 3 }\)

y = x - 2. Clearly,

\(\Large \color{purple}{\rightarrow y = 3 - 2 = 1 }\)

Answer 4

@daijagattison btw, did you understand my tutorial?

Answer 5

YESS i understand it very well you doing a god job helping out