Dermine whether or not thegiven pair of values is a solution of the given system

Question

Dermine whether or not thegiven pair of values is a solution of the given system ofsimultaneous linear equations.
15)
x - y = 5 x = 4, y = -1
2x + y = 7

19)
2x - 5y = 0 x = ((1)/(2)), y = -((1)/(5))
4x + 10y = 4

Explanation / Answer

All you have to do it plug in the value for both equations and seeif the equation becomes true or not. If both equations aretrue, then that (x, y) pair is a solution to the given system; ifone of the equation is not true then the (x, y) pair is not asolution. 15) Test (4, -1) for x - y = 5 => (4) - (-1) = 5 = 5 TRUE 2x + y = 7 => 2(4) + (-1) = 8 - 1 = 7 = 7 TRUE Then (4, -1) is a solution to this system. 19) Test (1/2, -1/5) 2x - 5y = 0   => 2(1/2) - 5(-1/5) = 1 + 1 =2 But 2 is not equal to 0! Therefore, we can stop immediatelyand conclude that (-1/2 , -1/5) is not a solution. There isno need to test the other equation because both equations has to betrue or else the test point does not work.

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.