Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 20, 2023

Solve for $x$ in the linear equation $y=4x+8$ .

STEP 1

Question: What is the form of the given equation $y=4x+8$ ?
A) $y = mx + c$ B) $y = mx - c$ C) $x = my + c$ D) $x = my - c$
Answer: A) $y = mx + c$

STEP 2

Question: What should we do to start isolating $x$ in the equation $y=4x+8$ ?
A) Add 8 to both sides B) Subtract 8 from both sides C) Add 4 to both sides D) Subtract 4 from both sides
Answer: B) Subtract 8 from both sides

STEP 3

Question: After subtracting 8 from both sides we have $y - 8 = 4x$ . What should we do next to isolate $x$ ?
A) Multiply both sides by 4 B) Divide both sides by 4 C) Multiply both sides by 8 D) Divide both sides by 8
Answer: B) Divide both sides by 4

STEP 4

Question: What will be the new equation after dividing both sides by 4 in the equation $y - 8 = 4x$ ?
A) $x = y - 8$ B) $x = y - 2$ C) $x = \frac{y - 8}{4}$ D) $x = \frac{y - 2}{4}$
Answer: C) $x = \frac{y - 8}{4}$

STEP 5

Question: What is the final solution to the equation $y = 4x + 8$ for $x$ ?
A) $x = y - 8$ B) $x = y - 2$ C) $x = \frac{y - 8}{4}$ D) $x = \frac{y - 2}{4}$
Answer: C) $x = \frac{y - 8}{4}$

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