Answer:
(2, 8)
Step-by-step explanation:
There are a couple of different ways to do this, but I am going to use substitution since we already have one of those equations solved for y. If y=3x+2, then we can sub 3x+2 in for y in the other equation:
-3x + 2(3x + 2) = 10 and
-3x + 6x + 4 = 10 and
3x + 4 = 10 and
3x = 6 so
x = 2. Now that we know x = 2, we can sub a 2 in for x in either equation to solve for y:
y = 3x + 2 gives us, with the substitution, y = 3(2) + 2 so y = 8. The solution set is (2, 8)
Answer:
Step-by-step explanation:
<u>The billiard cue is 15 cm away from the table</u>
- This refers to coordinates of (15, 0)
<u>The billiard cue touches the table at a point 60 cm off the ground</u>
- This refers to coordinates of (0, 60)
<u>The slope is as per slope formula;</u>
- m = (60 - 0)/(0-15) = 60/ -15 = -4
Thea answer is -4
Answer:
y = -0.8x - 5
Step-by-step explanation:
x1 = (XA + XB) / 2 = -5
y1 = (YA + YB) / 2 = -1
m = (XA - XB) / (YA - YB) = -0
__________________________________________
(y - -1) = -0.8(x - -5)
y - -1 = -0.8x - 4
y = -0.8x - 4 + -1
y = -0.8x - 5
7z + 10 - z = 8z - 2(z - 5)
7z + 10 - z = 8z - 2z + 10
6z + 10 = 6z + 10
6z - 6z = 10 - 10
0 = 0
Therefore, 7z + 10 - z = 8z - 2(z - 5)
