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

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Answer 1 · 2016-09-16T12:25:14

Yes

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

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

$\Rightarrow (- 3) + (2) = - 1$ $=> (- 3) + (2) = - 1$

$\Rightarrow - 3 + 2 = - 1$ $=> - 3 + 2 = - 1$

$\Rightarrow - 1 = - 1$ $=> - 1 = - 1$

and

$\Rightarrow 2 (- 3) + 5 (2) = 4$ $=> 2 (- 3) + 5 (2) = 4$

$\Rightarrow - 6 + 10 = 4$ $=> - 6 + 10 = 4$

$\Rightarrow 4 = 4$ $=> 4 =4$

Therefore, the ordered pair satisfies the equations.