What is the simplified form of the expression?
1 answer:
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Answer:
1. f(x) = 3x + 7
2.
3. f(x) = x + 5
4. f(x) = -2x - 5
5.
Step-by-step explanation:
Rearrange all the equations to make y the subject,
then substitute f(x) for y:
1. y - 3x = 7
Add 3x to both sides:
⇒ y = 3x + 7
⇒ f(x) = 3x + 7
2. 2x + 4y = 8
Subtract 2x from both sides:
⇒ 4y = -2x + 8
Divide both sides by 4:
⇒
⇒
3. -x + y = 5
Add x to both sides:
⇒ y = x + 5
⇒ f(x) = x + 5
4. y + 5 = -2x
Subtract 5 from both sides:
⇒ y = -2x - 5
⇒ f(x) = -2x - 5
5. 3x + 2y - 4 = 0
Subtract 3x from both sides:
⇒ 2y - 4 = -3x
Add 4 to both sides:
⇒ 2y = -3x + 4
Divide both sides by 2;
⇒
⇒