Answer:
![[0, 3, -6]](https://tex.z-dn.net/?f=%5B0%2C%203%2C%20-6%5D)
Step-by-step explanation:
{4x + y = 3
{x + y - z = 9 ←
{2x + 2y + z = 0 ←
{4x + y = 3
{3x + 3y = 9 >> Combined equation
−¾[4x + y = 3]
{−3x - ¾y = −2¼ >> New Equation
{3x + 3y = 9
_________
2¼y = 6¾
___ ___
2¼ 2¼
[Plug this back into all three equations to get the z-value of −6, and the x-value of 0];
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Answer:
63
Step-by-step explanation:
Because 30 percent of 90 equals 27
Thus
90 - 27 = 63.
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Parallel lines have the same slope, in this case 3.
To find the y intercept we plug in the points (2,1) into y=mx+b, with 2 being x and 1 being y.
1=3(2) + b
Solve this and you get -5 as the y intercept.
The equation is y=3x-5
Step-by-step explanation:
the slope is always the ratio "y coordinate charge / x coordinate change" when going from one point on the line to another.
so, when going from (-2, 1) to (4, -3)
x changes by +6 (from -2 to 4).
y changes by -4 (from 1 to -3).
therefore, the slope is
-4/+6 = -4/6 = -2/3