# Does the ordered pair (-3,2) satisfy both x+y=-1 and 2x+5y=4?

Sep 16, 2016

Yes

#### Explanation:

We have: $x + y = - 1$ and $2 x + 5 y = 4$ for $\left(- 3 , 2\right)$

We can check whether this ordered pair satisfies the equations by substituting them into the respective equations:

$\implies \left(- 3\right) + \left(2\right) = - 1$

$\implies - 3 + 2 = - 1$

$\implies - 1 = - 1$

and

$\implies 2 \left(- 3\right) + 5 \left(2\right) = 4$

$\implies - 6 + 10 = 4$

$\implies 4 = 4$

Therefore, the ordered pair satisfies the equations.