Answer:
A *am + am = ab
because of substitution, above it says that am = mb
so you substitute
Answer:
The answer to your question is:
x = 1
y = 1
z = 0
Step-by-step explanation:
-2x + 2y + 3z = 0 (1)
-2x - y + z = -3 (2)
2x + 3y + 3z = 5 (3)
Solve (1) and (2)
Multiply 2 by 2
-2x + 2y + 3z = 0
-4x -2y + 2z = -6
-6x + 5 z = -6 (4)
Solve (2) and (3)
Multiply 2 by 3
-6x - 3y + 3z = -9
2x + 3y + 3z = 5
-4x + 6z = -4 (5)
Solve (4) and (5)
Multiply (4) by 2 and (5) by -3
-12x + 10 z = -12
12x - 18z = 12
-6z = 0
z = 0
Then
-4x + 6(0) = -4
-4x = -4
x = -4/-4
x = 1
Finally
-2(1) - y + (0) = -3
-2 - y = -3
-y = -3 + 2
y = 1
Answer:
the answer to this question is 66
The sum of 4 and the quotient of a number and 11 = <span>4 + (y ÷ 11)</span>
the difference of 4 and the product of 11 and a number = <span>4 – 11y
</span>4 more than the quotient of a number and 11 = <span>4 + (y ÷ 11)
</span>4 more than the quotient of 11 and a number = 4 + (11 ÷ y)
Answer:
The line that meets these conditions is y = 1.5x - 2.5
If you want to use fractions, it would be y = 3x/2 - 5/2
Step-by-step explanation:
To get a line perpendicular to y = -(2/3)x + 1, We can start by finding its slope. That's easy enough as a perpendicular slope is the negative reciprocal of the given one. As this has a slope of -2/3, our new slope has to be 3/2, or 1.5
All we need to do then is express that rate of change relative to the given point (-1, -4). We can do this by expanding the classic equation:
Δy = sΔx
We can write that as such:
y - (-4) = 1.5(x - (-1))
y + 4 = 1.5(x + 1)
y + 4 = 1.5x + 1.5
y = 1.5x + 1.5 - 4
y = 1.5x - 2.5
Or if you want to express those numbers as fractions, it would be y = 3x/2 - 5/2.
To make sure the answer's correct, we can simply plug -1 in as the x value, and see if we get y = -4:
y = 3(-1) / 2 - 5/2
y = -3 / 2 - 5 / 2
y = -8 / 2
y = -4
So we know that our answer is correct (assuming that the slope is correct, which it is - a perpendicular line always has the negative reciprocal of the other line's slope).