Question

Which statements are true about the system of equations? Select ALL that apply.

-2x + 4y = 10

x + 5y = 2


The ordered pair (0,2) is a solution to the first equation.


The ordered pair (0,2) is a solution to the second equation.


The ordered pair (1,3) is a solution to the first equation.


The ordered pair (1,3) is a solution to the second equation.


The ordered pair (-3,1) is a solution to the first equation.


The ordered pair (-3,1) is a solution to the second equation.


The ordered pair (4,3) is a solution to the first equation.


The ordered pair (4,3) is a solution to the second equation.

Answer 1

• The ordered pair (0,2) is a solution to the second equation.
• The ordered pair (1,3) is a solution to the first equation.
• The ordered pair (-3,1) is a solution to the first equation.
• The ordered pair (-3,1) is a solution to the second equation.

Explanation:

An ordered pair
`(x,y)` is a solution to an equation if the values of
`x` and
`y` result in a true statement when substituted into the equation.

For example, the first statement is false because if
`x=0, y=2`, then,
`-2x+4y=8 \\eq 10`. However, the second statement is true because
`x+5y=10` using the same values.