Is (5,50) a solution to the linear system y = 5x + 25 and y = 3x + 35? Explain your reasoning.

Mathematics

2 answers:

elixir [45]1 year ago

8 0

No, because it is not a solution to the linear system shown above

Setler79 [48]1 year ago

3 0

$y = 5x +25~~~~~~~~~~~~~~...(i)\\\\y = 3x +35~~~~~~~~~~~~~~...(ii)\\\\ \text{Substitute (x,y) = (5,50) in both equations.} \\\\y = 5(5) +25 = 25 +25 = 50\\\\y =3(5) +35 = 15 +35 = 50\\\\\text{Hence, (5,50) is a solution to the linear system of equations.}$

You might be interested in

Solve the following system of equations. 2x + y = 3 x = 2y - 1 Make sure there are NO SPACES in your answer. Include a comma in

Natalka [10]

2x + y = 3
x = 2y - 1

solve for y in the first equation;
2x + y = 3
y = 3 - 2x

x = 2y - 1
x = 2(3 - 2x) - 1
x = -4x + 5

solve for x;
x = -4x + 5
x + 4x = 5
5x = 5
x = 1

solve for y;
y = 3 - 2x
y = 3 - 2(1)
y = 1

the answer is: x = 1, y = 1

hope this helps, God bless!

8 0

2 years ago

Find the equation of the line which passes through (-2,-2) and (2,-4).

Lena [83]

See photo hope it helps

5 0

2 years ago

Read 2 more answers

Guys help me with this question.

Vladimir79 [104]

100/-24 = -4 :)))))))

8 0

2 years ago

Find the difference between (-11,-11) and (-12,-8) round answer to the nearest hundredth

lisov135 [29]

Answer:

Step-by-step explanation:

The two points can be made into a right triangle with the two sides defined by two lines drawn from the two given points. Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points. See attached graph.

6^2 + 2^2 = x^2

36 + 4 = x^2

x^2 = 40

x = 6.32

3 0

2 years ago

3x²-4x+7 how do I find the domain?

Eddi Din [679]

The domain of this equation is the lowest x value to the highest x value. For example: lowest is -4 and highest is 3. You would write it as [-4,3]

For this equation, the domain is (-infinity,infinity) because there is no lowest or highest x value.

8 0

2 years ago