MATHEMATICS HIGH SCHOOL

Which ordered pairs make the equation true?4x – 3y = –10

Choose all answers that are correct.
(Points : 1)
(–4, –2)
(–1, 2)
(1, 4)
(3, –1)

Answers

Answer 1
Answer: (-4,-2) \nx=-4 \n y=-2 \n \Downarrow \n4 * (-4)-3 * (-2) \stackrel{?}{=} -10 \n-16+6 \stackrel{?}{=} -10 \n-10 \stackrel{?}{=} -10 \n-10 = -10 \n \n(-1,2) \nx=-1 \n y=2 \n \Downarrow \n4 * (-1)- 3 * 2 \stackrel{?}{=}-10 \n-4-6 \stackrel{?}{=} -10 \n-10 \stackrel{?}{=} -10 \n-10 = -10 \n \n(1,4) \nx=1 \n y=4 \n \Downarrow \n4 * 1-3 * 4 \stackrel{?}{=} -10 \n4-12 \stackrel{?}{=} -10 \n-8 \stackrel{?}{=} -10 \n-8 \not= -10

(3,-1) \nx=3 \n y=-1 \n \Downarrow \n4 * 3- 3 * (-1) \stackrel{?}{=} -10 \n12+3 \stackrel{?}{=} -10 \n15 \stackrel{?}{=} -10 \n15 \not= -10

The ordered pairs (-4,-2) and (-1,2) make the equation true.
Answer 2
Answer: (x,y)
1. 
(-4,-2)
4*(-4)-3*(-2)= -10
-16+6= -10
- 10 = - 10

2. (-1,2)
4*(-1)-3*2= -10
-4-6= -10
-10 = -10

3. (1,4)
4*1-3*4= -10
8-12= -10
-4 ≠ -10

4. (3, -1)
4*3-3*(-1)= -10
12 + 3 = -10
15 ≠ -10

The correct answers:
 (-4,-2)  and  (-1,2)

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(Multiple Choice, 20 pts)Solve the rational equation 3 divided by x equals quantity 4 times x plus 3 divided by x squared, and check for extraneous solutions.

A. x = 0; x = 3 is an extraneous solution
B. x = 3; x = 0 is an extraneous solution
C. x = 0; x = −3 is an extraneous solution
D. x = −3; x = 0 is an extraneous solution

Answers

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

Step 1: Cross-multiply

3x² = 4x² + 3x

Step 2: Isolate x's

0 = x² + 3x

Step 3: Factor

0 = x(x + 3)

Step 4: Find roots

x = 0, -3

Step 5: Double check work

Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

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Answers

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Answers

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brainly.com/question/22046046

#SPJ2
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Answers

Answer:

Step-by-step explanation:

Answer:

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