Solve the system by substitution.
y + 4 = x
10x + 2y = 16
2 answers:
Answer:
Step-by-step explanation:
<u>Given system:</u>
<u>Substitute x into the second equation:</u>
- 10(y + 4) + 2y = 16
- 10y + 40 + 2y = 16
- 12y = -24
- y = -2
<u>Find x:</u>
Answer:
x = 2 and y = -2
Step-by-step explanation:
Given system :-
y + 4 = x
10x + 2y = 16
Solve the system by substitution:-
Let,
y + 4 = x ...(1)
10x + 2y = 16 ...(2)
Solve for y;
Substitute y + 4 as x in the eq.(2)
10( y + 4 ) + 2y = 16
10y + 40 + 2y = 16
12y + 40 = 16
- Move constant to the right-hand side and change their sign.
12y = 16 - 40
12y = -24
12y / 12 = -24/12
Hence, y = -2
Solve for x.
- Substitute the value of y in eq.(1)
<u>-2 + 4</u> = x
Hence, 2 = x
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