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2 years ago

Solve the system using substitution. -x+y=9 and x-y=-9

Mathematics

1 answer:

Elina [12.6K]2 years ago

7 0

Answer:

Infinite Number of Solutions

Step-by-step explanation:

Hello!

We can solve for y in the first equation, and plug that value in for y in the second equation.

<h3>Find the Equation for Y</h3>

-x + y = 9
y = 9 + x

Now that we know the equation for y, we can plug that in for y into the second equation to solve for x.

<h3>Solve for X</h3>

x - y = -9
x - (9 + x) = -9
x - 9 - x = -9
-9 = -9

Since the equations match, there are an infinite number of solutions.

If we take a close look at the equations, we can also see that they are the same equation, but with flipped signs.

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$\bold{\huge{\pink{\underline{ Solution }}}}$

We have given in the question that, 

The sum of 2 numbers is equal to 11
The difference between two numbers is 19 .

$\bold{\underline{ To \: Find }}$

We have to find the value of x and y.

$\bold{\underline{ Let's \: Begin }}$

Let the two numbers be x and y

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