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Solve the system by graphing or using a table.
2x+4y=12
x+y=2

2 Answers

6 votes

Answer:

(-2, 4)

Explanation:

User Zazaeil
by
8.2k points
4 votes

Answer: x = -2 and y = 4


Explanation:

We have given a system of equations

2x + 4y =12 ...........(1)

and

x + y = 2 .............(2)

Now to plot them in graph we need to find the points of the above linear equations .

From equation 1 ,we get


4y=12-2x\\\Rightarrow\ y=(12-2x)/(4)\\ \Rightarrow\ y=3-(x)/(2)\\\text{Put x=0, then} \\y=3-(0)/(2)=3\\\Rightarrow\ \text{Put x=6}\\y=3-(6)/(2) =3-3=0

So get the points (0,3) and (6,0).

From equation 2 ,we get


y=2-x\\\text{Put x=0}\\y=2-0=2\\\text{Put x=2}\\y=2-2=0

So we get the points (0,2) and (2,0).

So after plotting these points we get two lines intersecting at (-2,4).

Therefore our solution is x=-2 and y= 4.

Solve the system by graphing or using a table. 2x+4y=12 x+y=2-example-1
User Aynat
by
7.8k points

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