Answered

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)

Verified Answer :

naǫ

\((-4,-2) \\ x=-4 \\ y=-2 \\ \Downarrow \\ 4 \times (-4)-3 \times (-2) \stackrel{?}{=} -10 \\ -16+6 \stackrel{?}{=} -10 \\ -10 \stackrel{?}{=} -10 \\ -10 = -10 \\ \\ (-1,2) \\ x=-1 \\ y=2 \\ \Downarrow \\ 4 \times (-1)- 3 \times 2 \stackrel{?}{=}-10 \\ -4-6 \stackrel{?}{=} -10 \\ -10 \stackrel{?}{=} -10 \\ -10 = -10 \\ \\ (1,4) \\ x=1 \\ y=4 \\ \Downarrow \\ 4 \times 1-3 \times 4 \stackrel{?}{=} -10 \\ 4-12 \stackrel{?}{=} -10 \\ -8 \stackrel{?}{=} -10 \\ -8 ot= -10\)

\((3,-1) \\ x=3 \\ y=-1 \\ \Downarrow \\ 4 \times 3- 3 \times (-1) \stackrel{?}{=} -10 \\ 12+3 \stackrel{?}{=} -10 \\ 15 \stackrel{?}{=} -10 \\ 15 ot= -10\)

The ordered pairs (-4,-2) and (-1,2) make the equation true.

Rodeway

(x,y)
1. 
(-4,-2)
4(-4)-3(-2)= -10
-16+6= -10
- 10 = - 10

2. (-1,2)
4(-1)-32= -10
-4-6= -10
-10 = -10

3. (1,4)
41-34= -10
8-12= -10
-4 ≠ -10

4. (3, -1)
43-3(-1)= -10
12 + 3 = -10
15 ≠ -10

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

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