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Len [333]
3 years ago
9

How many solutions does the system x + y = 3 and 2x + 2y = 5 have?

Mathematics
2 answers:
Nataliya [291]3 years ago
6 0
<span>y=-x+5/2..................(2) 
the slopes of equations (10) & (2) are same and the intercepts are different 
so the lines are parallel.
it has no solution </span>
kifflom [539]3 years ago
5 0

Answer:

no solution.

Step-by-step explanation:

The given system of equations is

x+y=3

2x+2y=5

If two equations are defined as ax_1+by_1+c_1=0\text{ and }ax_2+by_2+c_2=0, and \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}, then lines are parallel.

In the given equations a_1=1,b_1=1,c_1=-3,a_2=2,b_2=2,c_2=-5.

\dfrac{a_1}{a_2}=\dfrac{1}{1}=1

\dfrac{b_1}{b_2}=\dfrac{2}{2}=1

\dfrac{c_1}{c_2}=\dfrac{-3}{-5}=\dfrac{3}{5}

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}

So, the lines are parallel and parallel lines neven intersect each other.

Therefore, the given system of equation have no solution.

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Step-by-step explanation:

5 0
2 years ago
What is the relationship between the 3's in the number 9,338?
Serhud [2]
The 3 in the hundreds place (value of 300) has a value that is 10x the 3 in the tens (value of 30).
4 0
2 years ago
Read 2 more answers
Y varies directly with x, and y = 5 when x = 4. What is the value of x when y = 8?
Tomtit [17]
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
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7 0
3 years ago
Matt cut a circle into 8 equal sections. He drew an angle that measures the same as the total measure of 4 of the sections in th
gulaghasi [49]

Answer:

The angle Matt drew = 180°

Step-by-step explanation:

The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.

Let the equal angles drawn = x

x + x + x + x + x + x + x + x = 360°

8 × x = 360°

8x = 360

x = 45°

∴ each angle drawn = 45°

Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.

Finding the measure of this angle:

1 section in the circle = 45 (<em>shown above</em>)

∴ 4 sections = 45 × 4 = 180°

∴ The angle Matt drew = 180°

5 0
2 years ago
Which term best describes a proof in which you assume the opposite of what u want to prove​
ANTONII [103]

Answer:

The Latin phrase is "reduction ad absurd um", meaning reduction to absurdity. You assume the opposite and show that logically it leads to a contradiction and therefore cannot be true.

Hope this helps.

8 0
2 years ago
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