Question

Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)

Answer 1

An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation can be done in the following manner.

2x+3y=6

3x+5y=10

Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,

$2x+3y=6\\\\2x=6-3y\\\\x = \dfrac{6-3y}{2}$

Now, substitute the value of x in the second equation,

$3x+5y=10\\\\3(\dfrac{6-3y}{2})+5y=10\\\\18-9y +10y = 20\\\\-9y+10y=20-18\\\\y=2$

Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.

$2x+3y=6\\\\2x+3(2)=6\\\\2x=6-6\\\\x=0$

Hence, the ordered pair which is the solution of the system of linear equations is (0,2).

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