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Veseljchak [2.6K]
3 years ago
10

Solving systems by Substitution Homework y=x+4 y=x-3​

Mathematics
1 answer:
zvonat [6]3 years ago
8 0
There is no solution for this equation since they have the same slope, x/1. The only difference between these two is that their y intercepts are different meaning that they will be parallel lines that will never intersect among one other. For example, think of it as two separate lines that are have the same slope and never gain more distance/units from one another.


Solve:

To solve, you have to get one of this equations into a Ax+By=C equation form, standard equation. Let’s change y=x+4 into a standard equation.

We have to get x and y together and 4 as C.
So let’s subtract x from both sides;

y=x+4
-x -x
————————
-x+y=4

This is a standard equation.

Now let’s substitute.

take the standard equation and plug in y which is x+4 since there is a equation meaning it’s y=x+4


-x+(x+4)=4


Let’s simplify this mess.


-x+x equals 0. So we are left with 4=4.

Subtract 4 from both sides and we get 0=0



This means there is no solution. Hoped this helped.
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3 years ago
if the graph of a quadratic function intersects with the x axis two times, how many solutions are there to the equation when set
konstantin123 [22]
Hello there!

This is a conceptual question about quadratic functions.

Remember that a solution of ANY function is where it intersects the x-axis, so if the quadratic function intersects the x-axis TWO times, this means that there are TWO real solutions.

Here's a list of things to remember that will help you out for quadratic functions...
•if a quadratic function intersects the x-axis twice, it has two real solutions.
•if a quadratic function intersects the x-axis once, it has one real solution and one imaginary solution.
•if a quadratic function intersects the x-axis zero times, it has zero deal solutions and two imaginary solutions.


Please NOTE: If you want to know how many solutions a polynomial function has, look at it's highest exponent. If it is 2, then it has 2 solutions whether they be real or imaginary. If it is 3, then it has 3 solutions.

Also, if one of the factors are the same for a polynomial function, the way it hits the x-axis changes! This is just some extra information to help you in the long run!


I hope this helps!
Best wishes :)
8 0
3 years ago
2x + y = 7 y = x + 1 When the expression x+1 is substituted in for y in the first equation, the result is
Charra [1.4K]

2x + y = 7

substitute

2x + (x+1) =7

combine like terms

3x+1 =7

subtract 1 from each side

3x =6

divide by 3

x=2

y = x+1

y =2+1

y=3

Answer: x=2, y=3

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Answer:

A: -9a

Step-by-step explanation:

Hope that helps!

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Answer:

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Step-by-step explanation:

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