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Sunny_sXe [5.5K]
3 years ago
9

How do i solve the linear system -14x+15y=15 21x-20y=-10 using elimination

Mathematics
1 answer:
valina [46]3 years ago
4 0
Solve the following system using elimination:
{15 y - 14 x = 15 | (equation 1)
{21 x - 20 y = -10 | (equation 2)

Swap equation 1 with equation 2:
{21 x - 20 y = -10 | (equation 1)
{-(14 x) + 15 y = 15 | (equation 2)

Add 2/3 × (equation 1) to equation 2:
{21 x - 20 y = -10 | (equation 1)
{0 x+(5 y)/3 = 25/3 | (equation 2)

Multiply equation 2 by 3/5:
{21 x - 20 y = -10 | (equation 1)
{0 x+y = 5 | (equation 2)

Add 20 × (equation 2) to equation 1:
{21 x+0 y = 90 | (equation 1)
{0 x+y = 5 | (equation 2)

Divide equation 1 by 21:
{x+0 y = 30/7 | (equation 1)
{0 x+y = 5 | (equation 2)

Collect results:

Answer:  {x = 30/7, y = 5
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What are the domain and range of f(x) = 2|x -4|? <br> plz i'm in need
mafiozo [28]

Answer:

Domain: (-∞, ∞)

Range: [0, ∞)

Step-by-step explanation:

The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)

The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)

6 0
3 years ago
I don't get how to do #10 someone help plez
ExtremeBDS [4]
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3 0
3 years ago
I need help I don't really understand this
pantera1 [17]
The perimeters of both are equal.
The side of the square is 12.
Therefore, its area equals to : 12² = 144

The rectangle base is 19.
Because it has the same perimeter as the square's, so rectangle perimeter is : 19 + 19 + side + side = 12 + 12 + 12 + 12
= 38 + 2side = 48
= 2side = 48 - 38
= side of rectangle = 5
Therefore, its area is 19 x 5 = 95

If you subtract it from the area of the square, you will get : 144 - 95 = 49.
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8 0
3 years ago
How to solve y^2=144/169
jekas [21]
Find the square root of both sides
√y²= √(144/169)

y= √144 / √169
y= 12/13

Final answer: y=12/13
7 0
3 years ago
Megan received a $208,000 inheritance after taxes from her parents. She invested it at 8% interest compounded quarterly for 5 ye
Nookie1986 [14]
Use the compound interest formula.
  A = P*(1 +r/n)^(n*t)
where P is the principal, r is the annual rate, n is the number of compoundings per year, and t is the number of years.

For the first investment, ...
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For the second investment, ...
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Totaling both investments at maturity, Megan has $596,141.43.
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3 years ago
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