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What is the solution to the system of equations?

What is the solution to the system of equations?-example-1
User Khakionion
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2 Answers

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Solve systems of equations by graphing. A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.
User MortenB
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5 votes

Answer:

(7, 13/3)

Explanation:


y=(1)/(3) x+2\\ Line up the equations on top of each other


y=(4)/(3) x-5


-4*[y=(1)/(3) x+2] Multiply the top equation by
-4 in order to cancel out the
x variable


-4y=-(4)/(3) x-8 Switch out the first equation for this one


-4y=-(4)/(3) x-8 Line up the equations


y=(4)/(3) x-5


-3y=-13 Add the two equations top to bottom, left to right


y=(13)/(3)

Now that you've found
y, you need to find
x. Just plug in the y-value to either of the equations in Step 1:

The first equation has smaller numbers, so let's use that one.


(13)/(3) =(1)/(3) x+2

To make it easier you can multiply all the terms in the equation by 3:


13=x+6


7=x

The
x- and
y- values together give a solution of (
7,
(13)/(3) )

User TechnoTony
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