3 7 solving systems of equations using cramer's rule answers

Asked by admin @ 05/11/2021 in Mathematics viewed by 366 People

Use Cramer's rule to solve the following system of equations.

5x + 3y = 7
4x + 5y = 3
A. x = 2, y = —1
B. x = 4, y = 1
C. x = --2, y = —1
D. x = 2, y = 5

Answered by admin @ 05/11/2021

5x + 3y = 7> (4) 5x + (4) 3y = (4) 7
4x + 5y = 3> (-5) 4x + (-5) 5y = (-5) 3
20y + 12y = 28
-20x -25y = -15
(X's cross out) 12y - 25y = 28 -15
-13y = 13
Y = -1
(Plug in for y) 5x + 3(-1) = 7
5x -3 =7 (add 3 to 7)
5x = 10 (divide by 5)
X= 2
Ordered Pair= (2, -1)

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