Answer:
x = -5, y = 4, z = 3
Step-by-step explanation:
(1) 3x + y + 3z = -2
(2) 6x + 2y + 9z = 5
(3) -2x - y - z = 3
Step 1. Eliminate one of the variables in two of the equations
6x + 2y + 9z = 5 Subtract twice Equation (1)
6x + 2y + 6z = -4 from Equation (2)
3z = 9
z = 3
Step 2. Set up two new equations in two variables
3x + y + 9 = -2 Substitute z
-2x - y - 3 = 3 into (1) and (3)
(4) 3x + y = -11 Add Equations
(5) -2x - y = 6 (4) and (5)
x = -5
Step 3. Substitute x and z into one of the original equations
Substitute into (3)
-2(-5) - y - 3 = 3
10 - y - 3 = 3
7 - y = 3
- y = -4
y = 4
The solutions are x = -5, y = 4, z = 3.
Check:
(1) 3(-5) + 4 + 3(3) = -2
-15 + 4 + 9 = -2
-2 = -2
(2) 6(-5) + 2(4) + 9(3) = 5
-30 + 8 + 27 = 5
5 = 5
(3) -2(-5) - 4 - 3 = 3
10 - 4 - 3 = 3
3 = 3
Answer:
It's already simplified. The question might be asking you to find the slope or y intercept. The slope is 3/4 and the y intercept is - 20. Can't confirm though, as I don't know what the question was asking specifically.
X^2-3x-7x+16=0
x^2-10x+16=0
(x-8)(x-2)=0
x=8 or x=2
Answer:
y = x-3 is the equation
Step-by-step explanation:
If two lines are perpendicular, the product of their slopes is -1
The general equation form of a straight line is;
y = mx + b
Fro the equation;
y = -1x + 2
The slope is -1
So the equation of the perpendicular line is as follows;
-1 * m = -1
m = 1
so we can use the point-slope equation form
That would be:
y-y1 = m(x-x1)
y-3 = 1(x-6)
y-3 = x-6
y = x-6+3
y = x-3
Answer:
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Step-by-step explanation:
Rhombuses, parallelograms, rectangles, and squares cannot be classified as trapezoids as they have 2 pairs of parallel sides each. But quadrilaterals can be classified as trapezoids if they have a pair of parallel sides and a pair of non-parallel sides.