Question

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)

Answer 1

(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)

Answer 2

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


`(3,-1) \\ x=3 \\ y=-1 \\ \Downarrow \\ 4 * 3- 3 * (-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.