3. MULTIPLE CHOICE Which system of equations can be entered into a graphing calculator to solve $$ 3.5 x+18=-5.8 x+30 $$ ? (Lesson $$ 7-1 $$ ) (A) $$ y=3.5 x $$ $$ y=-5.8 x $$ (B) $$ y=3.5 x+18 $$ $$ y=-5.8 x+30 $$ (C) $$ 0=3.5 x+18 $$ $$ 0=-5.8 x+30 $$ (D) $$ y=9.3 x-12 $$

Question

UpStudy AI · Accepted Answer

**Step 1. Write the original equation:**

$$
3.5x + 18 = -5.8x + 30
$$

**Step 2. Recognize the goal for the graphing calculator:**

A graphing calculator can solve a system by graphing two different equations and finding where they intersect. To do this, we want to rewrite each side of the given equation as a function of $$ x $$ with $$ y $$ on the left side.

**Step 3. Rewrite the equation as two equations:**

Rewrite the left side as one equation and the right side as another:

$$
y = 3.5x + 18
$$
$$
y = -5.8x + 30
$$

**Step 4. Identify the correct multiple choice option:**

Looking at the provided options, Option (B) exactly matches these two equations:

$$
y = 3.5x + 18 \quad \text{and} \quad y = -5.8x + 30
$$
Option (B) $$ y = 3.5x + 18 $$ and $$ y = -5.8x + 30 $$ is the correct system to enter into the graphing calculator.

MULTIPLE CHOICE Which system of equations
can be entered into a graphing calculator to
solve ? (Lesson )
(A)

(B)

©

(D)

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MULTIPLE CHOICE Which system of equations can be entered into a graphing calculator to solve ? (Lesson ) (A) (B) © (D)