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Ugo [173]
3 years ago
14

What is the first step in solving this system of equations by elimination? 5a + 3b = –9 2a – 5b = –16

Mathematics
1 answer:
Elis [28]3 years ago
5 0
<span>Multiply one of the equations so that both equations share a common complementary coefficient.
       In order to solve using the elimination method, you need to have a matching coefficient that will cancel out a variable when you add the equations together. For the 2 equations given, you have a huge number of choices. I'll just mention a few of them.
   You can multiply the 1st equation by -2/5 to allow cancelling the a term.
   You can multiply the 1st equation by 5/3 to allow cancelling the b term.
   You can multiply the 2nd equation by -2.5 to allow cancelling the a term. You can multiply the 2nd equation by 3/5 to allow cancelling the b term.
   You can even multiply both equations.
For instance, multiply the 1st equation by 5 and the second by 3. And in fact, let's do that. 5a + 3b = –9 2a – 5b = –16 5*(5a + 3b = -9) = 25a + 15b = -45
   3*(2a - 5b = -16) = 6a - 15b = -48
       Then add the equations 25a + 15b = -45
   6a - 15b = -48
   =
   31a = -93
   a = -3
       And then plug in the discovered value of a into one of the original equations and solve for b.</span>
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a counter top is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the counte
nekit [7.7K]
For the trapezoid, the equation used to solve for the area is,
                           A = (0.5)(b₁ + b₂)(h)
where b₁ and b₂ are the measure of the bases and h is the height. Substituting the known values above,
                          1224 = (0.5)(70.5 + 65.5)(h)
                                     h = 18
Thus, the height of the counter top is 18 inches. 
7 0
3 years ago
Find an equation for the line that passes through the point (-4, 10) and (16, -2)
Crank

Answer:

y = 3/5x + 62/5

Step-by-step explanation:

Equation of a line with two points is

m = y - y_1 / x - x _1

m = y_2 - y_1 / x_2 - x _1

Equating both

y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1

Using what we are provided with

(-4 , 10)(16 , -2)

x_1 = -4

y_1 = 40

x_2 = 16

y_2 = -2

Imputing the values

10 - (-2) / 16 - (-4) = y - 10 / x - (-4)

10 + 2 /16 + 4 = y - 10 / x + 4

12 / 20 = y - 10 / x + 4

Lets cross multiply

12 ( x + 4) = 20(y - 10)

Open the brackets

12x + 48 = 20y - 200

12x + 48 + 200 = 20y

12x + 248 = 20y

Following this equation of line

y = mx + C

20y = 12x + 248

Let's divide through by 20 to get y.

20y / 20 = 12x + 248 / 20

y = 12x + 248 / 20

We can separate it by

y = 12x / 20 + 248 / 20

y = 3/5x + 62/5

Therefore, the equation of the line is

y = 3/5x + 62/5

3 0
3 years ago
What are co primes and primes Hrishiiiii pls help me​
Anon25 [30]

Answer:

SEE BELOW

Step-by-step explanation:

Coprime numbers:

A Co-prime number is a set of numbers or integers which have only 1 as their common factor.

For eg: (2,3), (11,12), (99,100) and so on; they have 1 as their HCF. The sum of any two coprime numbers is always coprime with the product of the same two coprime numbers. For eg: The sum of 2 and 3 is 5 and the product of 2 and 3 is 6. Hence, 5 and 6 are coprime numbers.

Prime number

A number that can be divided exactly only by itself and 1, for example 7, 17 and 41

8 0
3 years ago
(6,5) what is b y=mx+b
PolarNik [594]

Answer:

b = y-intercept

Step-by-step explanation:

7 0
2 years ago
Hey could you help me<br> Estimate<br> 754÷12
storchak [24]

Your answer is 62.8

Have a good day

3 0
2 years ago
Read 2 more answers
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