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gogolik [260]
3 years ago
10

What is the solution to the system of equations 6x+2y=6 7x+3y=5

Mathematics
1 answer:
brilliants [131]3 years ago
8 0

Answer:

(x,y)=(2,-3)

Step-by-step explanation:

6x+2y=6

7x+3y=5

Multiply both sides by 3

18x+6y=18

7x+3y=5

Multiply both sides by -2

18x+6y=18

-14x-6y=-10

Eliminate one variable by adding the equations

4x=8

x=2

Substitute the value of x to get y

6(2)+2y=6

y=-3

x=2

y=-3

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Write the square or cube for each number.
IRISSAK [1]

Answer:

1) 19³=6859

2) 16² =256

3) 15³ =3375

4) 20² =400

5) 10³ =1000

Step-by-step explanation:

using your calculator to (square = number times itself) or (cube = number times itself times itself again)

4 0
2 years ago
Verify the -(-x) = x for x= -21/31​
aliina [53]

Answer:

-3

Step-by-step explanation:

because of the root

6 0
2 years ago
Find the slope and reduce of p=(3/4,1 1/4) q=(-1/2,-1)
sergij07 [2.7K]
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
p&({{ \frac{3}{4}}}\quad ,&{{ \frac{1}{4}}})\quad 
%   (c,d)
q&({{ -\frac{1}{2}}}\quad ,&{{ -1}})
\end{array}

\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-\frac{1}{4}}{-\frac{1}{2}-\frac{3}{4}}\quad \cfrac{\leftarrow LCD=4}{\leftarrow LCD=4}
\\\\\\
\cfrac{\frac{-4-1}{4}}{\frac{-2\cdot 1-3}{4}}\implies \cfrac{\frac{-5}{4}}{\frac{-5}{4}}\implies \cfrac{-5}{4}\cdot \cfrac{4}{-5}\implies 1
7 0
3 years ago
Alexandra and Stephanie are sisters, and they're saving their money to buy a used car. Together they have more than $2,500, and
Vilka [71]

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns:  a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.

7 0
2 years ago
You will begin with a relatively standard calculation. consider a concave spherical mirror with a radius of curvature equal to 6
vodomira [7]
We are given a concave spherical mirror with the following dimensions:

Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm

First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation: 

Assume f = 10 cm

1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i

d i = 15 cm

Then, calculate for h i:

h i / h o = - d i / d o

h i / 6 = - 15 / 30

h i = - 3 cm

Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted". 
6 0
3 years ago
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