Is  (6,4)  a solution of the system of linear equations?    −6x+y = −32  x+y = 10

3 Answers | Add Yours

violy's profile pic

violy | High School Teacher | (Level 1) Associate Educator

Posted on

To check if an ordered pair `(x,y)` is a solution of a linear equation, you need to plug-in the values of `x` and `y` on the equations, and check if results as a true statement.

For the first equation `-6x + y = -32,` replace `x` by `6` and replace `y` by `4` .

`-6(6)+4 ? -32`  

`-36 + 4 ? -32`

`-32 = -32`

It is true that `-32` is equal to `-32` , so `(6,4)` lies on the line corresponds to`-6x+y=-32`.

For the second equation `x + y = 10` , replace x by `6` and replace y by `4` .

`6 + 4 ? 10`

`10 = 10`

It is true that `10 = 10` , therefore `(6,4)` lies on the line corresponds to `x + y = 10` .

Therefore `(6,4)` is a solution of the system.

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)
malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

To check the answer just input the values into any one of the linear equations,

-6x + y = -32

x + y = 10
 
Solution set = (6,4)
 
x = 6
y = 4
 
Now input them,
 
x + y = 10
 
6 + 4 = 10
 
10 = 10
 
LHS=RHS proved.
 
You can input them in the other equation to further prove that the above answer is correct,
 
-6x + y = -32
 
-6(6) + 4 = -32
 
-36 + 4 = -32
 
-32 = -32 
 
LHS=RHS
Hence proved that the answer is correct.
 
udonbutterfly's profile pic

udonbutterfly | Student, College Freshman | (Level 1) Valedictorian

Posted on

Let's see! In order to check if (6,4) you are going to have to plug in x as 6 and y as 4 into both equations and see if both sides are equal on both equations.

-6x+ y = -32
-6(6)+(4)= -32
-36 + 4 = -32
-32 = -32 SUCEESS!
x+y= 10
6+4= 10
10= 10 SUCESS!
Since both equations are equal on both side the correct answer is (6,4).
 

We’ve answered 318,991 questions. We can answer yours, too.

Ask a question