In Exercises 1–4, determine whether the given ordered pair is a s...

Question

In Exercises 1–4, determine whether the given ordered pair is a solution of the system. (2, 5) 2x + 3y = 17 x + 4y = 16

Ordered pair (2, 5) with two linear equations for a systems of equations exercise.

Accepted Answer

Hey everyone welcome back in this problem, we are asked to find whether the given ordered pair satisfies the system of equations. Shown, the ordered pair were given is 13 and the equations are eight X plus seven. Y equals 29 minus two, X plus Y equals one. Okay, so we're looking at whether it satisfies the system of equations. We want to look at whether that point satisfies each equation on its own. Okay, so let's start with the first equation. eight x plus seven y equals 29. Thanks. We have just a number on the left hand or on the right hand side story. So let's start with the left hand side. Okay, so we have the left hand side of the equation which is eight X plus seven Y. We want to substitute the point that we're interested in the .1, 3. Alright, so if we do substitute that we're gonna have eight times one Plus seven times 3. Well this is going to be eight plus 21 Which is equal to 29. Well look that 29 here that we found on the left hand side is equal to the right hand side of our equation. Okay, so this is equal to the right hand side. So that means that this equation is satisfied. That point satisfies this equation so we can give a check mark or a smiley face there. Alright now let's do the same for the second equation. We have minus two, X plus Y equals one. Again taking the left hand side which is minus two X plus y. And substituting in the 20.13, We get the left hand side is equal to -2 Times one Plus 3. Well this is equal to minus two plus three which is equal to one. Well, hey look that is equal to the right hand side of that equation that we were hoping for. Okay, so the left hand side of the equation equals the right hand side of the equation. So that point doesn't status does indeed satisfy that equation. Okay, so the point we're given, the ordered pair were given satisfies both equations. Okay, so it is the solution set? Okay, so answer is a yes. The ordered pair is a solution set to the given set of equations. That's it for this one. See you in the next video.

In Exercises 1–4, determine whether the given ordered pair is a solution of the system. (2, 5) 2x + 3y = 17 x + 4y = 16

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