Answer:
<h2>D. (-2, 4)</h2>
Step-by-step explanation:
Put the coordinates of the points and check the equality.
2x + 3y = 8
A. (1, 4) → x = 1, y = 4
2(1) + 3(4) = 2 + 12 = 14 ≠ 8
B. (2, 2) → x = 2, y = 2
2(2) + 3(2) = 4 + 6 = 10 ≠ 8
C. (-1, 3) → x = -1, y = 3
2(-1) + 3(3) = -2 + 9 = 7 ≠ 8
D. (-2, 4) → x = -2, y = 4
2(-2) + 3(4) = -4 + 12 = 8 CORRECT
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Answer:
c (2,3,-2)
Step-by-step explanation:
3x+y+z = 7
x+3y-z =13
y = 2x-1
Add the first two equations together to eliminate z
3x+y+z = 7
x+3y-z =13
----------------------
4x+4y = 20
Divide by 4
4x/4 + 4y/4 = 20/4
x+y = 5
We know y = 2x-1. substitute this into the equation
x+ (2x-1) = 5
Combine like terms
3x-1 =5
Add 1 to each side
3x-1+1 =5+1
3x=6
Divide by 3
3x/3 = 6/3
x=2
Now we can find y
y = 2x-1
y = 2(2)-1
y =4-1
y= 3
We know x and y, now we need to find z
3x+y+z = 7
3(2) +3 +z = 7
6+3+z =7
9+z=7
Subtract 9 from each side
(-9+z =7-9
z=-2
So x=2,y=3 =-2
(2,3,-2)
Answer:
yea i have its kinda crazy
Step-by-step explanation:
