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In-s [12.5K]
2 years ago
10

Find the solution to the system of equations 2x + y = 3 and x - y = 3.

Mathematics
2 answers:
GrogVix [38]2 years ago
8 0
Ans (2,-1)

2(2)+(-1)=3
4+(-1)=3
3=3
and
2-(-1)=3
2+1=3
3=3
IRISSAK [1]2 years ago
6 0

Answer:

(2, - 1 )

Step-by-step explanation:

2x + y = 3 → (1)

x - y = 3 → (2)

adding the 2 equations term by term will eliminate y

3x + 0 = 6

3x = 6 ( divide both sides by 3 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

2(2) + y = 3

4 + y = 3 ( subtract 4 from both sides )

y = - 1

solution is (2, - 1 )

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When dividing 8,164 by 78.5, what is the place value of the last digit in the quotient?
loris [4]

Answer:

4

Step-by-step explanation:

8164/78.5

(8164×2)/((78.5×2)

= 16328/157

= 104

5 0
3 years ago
Read 2 more answers
At Stephanie's new job, she spent $6.50, $8, $7.25, $13.50, and $9.75 on lunch the first week. In the second week, Stephanie spe
MaRussiya [10]

Answer:

The mean for the second week is $2 less than the first and in percentage it is 22% less.

Step-by-step explanation:

The mean is given by the sum of all individual values divided by the number of values. For the first week the sum is:

sum1 = 6.5 + 8 + 7.25 + 13.5 + 9.75

sum1 = 45

Since she spent 10 less in the second week the sum is:

sum2 = sum1 - 10 = 45 - 10 = 35

The mean for each week is:

mean1 = sum1/5 = 45/5 = 9

mean2 = sum2/5 = 35/5 = 7

difference = mean1 - mean2 = 9-7 = 2

difference(%) = [2/9]*100 = 0.22*100 = 22%

The mean for the second week is $2 less than the first and in percentage it is 22% less.

6 0
3 years ago
) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle
Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

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x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

with 0\le u\le1 and 0\le v\le1. Take the normal vector to S to be

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

8 0
3 years ago
X = y, If y=9, then x = 9<br><br> what property is this?
irakobra [83]

Answer:

The Transitive Property for x and y

Step-by-step explanation:

3 0
3 years ago
(+6) + (+4) + (+6) + (+5)<br> simplify
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1) simplify 6+4 to 10

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2) simplify 10+6 to 16

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3) simplify

21
3 0
3 years ago
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