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padilas [110]
3 years ago
5

X + y = 6 X - 4y = 1 Find the solution of the system of equations by using elimination.

Mathematics
1 answer:
Effectus [21]3 years ago
4 0

Answer:

x=5, y=1

Step-by-step explanation:

First, you need to multiply both sides of the second equation by -1 so that you can proceed the elimination process. Like this...

x + y = 6

x - 4y = 1

x + y = 6

-x + 4y =- 1

Now you can eliminate the x variable by addition process. It becomes like this...

x + y = 6

-x + 4y =- 1

5y=5

y = 1

Now, let's proceed substitution process. You can substitute the value of y into any equation that you want. I want to put the value of y into the equation of x + y = 6 .

When y=1, substitute into x + y = 6

x + 1 = 6

x = 6-1

x = 5

Hooray! Now you have the value of x and y.

x= 1 and y=5.

I hope you will understand my explanation. Bye!

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In a number line the solution is the shaded area at left of r=-1.1 (open circle)

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The number 5 is not included in the solution

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Rewrite

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The solution is the interval [20,∞)

In a number line the solution is the shaded area at right of i=20 (closed circle)

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