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earnstyle [38]
3 years ago
5

Solve the system x+3y=22 2x-y=2

Mathematics
2 answers:
photoshop1234 [79]3 years ago
7 0

Answer:  The required solution is (x, y) = (4, 6).

Step-by-step explanation:  We are given to solve the following system of equations :

x+3y=22~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x-y=2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

From equation (ii), we have

2x-y=2\\\\\Rightarrow y=2x-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of y from equation (iii) in equation (i), we get

x+3(2x-2)=22\\\\\Rightarrow x+6x-6=22\\\\\Rightarrow 7x=22+6\\\\\Rightarrow 7x=28\\\\\Rightarrow x=\dfrac{28}{7}\\\\\Rightarrow x=4.

From equation (i), we get

4+3y=22\\\\\Rightarrow 3y=22-4\\\\\Rightarrow 3y=18\\\\\Rightarrowy=\dfrac{18}{3}\\\\\Rightarrow y=6.

Thus, the required solution is (x, y) = (4, 6).

saw5 [17]3 years ago
3 0
It will equal (4,6) for x and y
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the home of bill burton is assessed at $91,000. the tax rate is 18.5 mills. what is the property tax on bills home?
IrinaVladis [17]

Answer:

  $1683.50

Step-by-step explanation:

You are expected to know that a "mill" is one thousandth of a dollar. In this context, it is the amount of tax on one dollar of assessed valuation. So, the tax amount is found by multiplying the valuation by 18.5/1000:

  tax = 0.0185 · $91,000 = $1683.50

6 0
3 years ago
Which expression is equivalent to 30 (1/2x - 2) +40 (3/4y-4)? (will add pic)
bixtya [17]

Answer:

C

Step-by-step explanation:

Given

30( \frac{1}{2} x - 2) + 40( \frac{3}{4} y - 4)

Multiply each of the terms in the first parenthesis by 30 and multiply each of the terms in the second parenthesis by 40.

= 15x - 60 + 30y - 160

= 15x + 30y - 220 → C

7 0
3 years ago
the population of a town increases at the rate of 1% each year today the towns population is 8500 what will the population be in
romanna [79]

Answer:

8934 (8933.58542585)

Step-by-step explanation:

8,500 (population currently) * 1.01 (1 percent) ^ 5 (years) = 8933.58542585 ≅ 8934 people.

4 0
3 years ago
Describe the transformation done to y = 1/x to get y = 1/4x -12?
BabaBlast [244]
The transformation is done to y=1/x to get y=1/4x-12. We defined a turning point in the equation which will indicate the point in the graph.

We changed the form from y=x to y=x+c. In this case, we use 1/2 for the and constant C value which is -12.

3 0
3 years ago
Billy wants to live in the area defined by y < 3x − 6. Explain how you can identify the houses in which Billy is interested i
Nadusha1986 [10]
Check the picture below.

to graph an inequality, you pretty much first off, need to graph the "equality" or equation, so for y < 3x − 6, first off, graph the line <span>y = 3x − 6.

and then you do a "true" or "false" check.

now, if you look at the line below, it splits the grid in two sections, so, let's check a point in either section, if one is false, the other is true and the other way around.

so, let's check the region on the left-hand-side, hmmmm say point 0,0, the origin.

y < 3x - 6

y = 0,  x = 0  thus

0 < 3(0) - 6

0 < -6   <--- now, is that really true? is 0 lesser than -6? not quite, is false.

recall that on the negative side, the closer to 0, the larger the value, so -1 is much larger than -1,000,000.

because the point 0,0 yielded a false inequality, that region is the "false region" and thus not shaded, therefore, the other side must be the "true region", and thus we shade that then.

we can run a quick check on that btw, say on point 4,4

y =4,   x = 4  thus

4 < 3(4) - 6

4 < 12 - 6

4 < 8    <---- yeap, is true, 4 is lesser/smaller than 8.

hmm ohh yes, the line needs to be dashed for a < or >, because it "has that boundary but it does not include it", unlike </span>⩽ and ⩾, which is a solid line, because it has that boundary and it includes it too.

3 0
3 years ago
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