Use the result matrix to declare the final solution to the system of equations. x=4x=4 y=−27y=-27 z=−67z=-67The solution is the set of ordered pairs that make the system true. (4,−27,−67)(4,-27,-67)x−z+3y=4,z=3y,y−x=5zx-z+3y=4,z=3y,y-x=5z ...
12andx. x2-y=-3 9x-y=1 12x-y=-3 9x-y=1 12x−y=−312x-y=-3 9x−y=19x-y=1 Write the system as amatrix. [12−1−39−11][12-1-39-11] Find the reduced row echelon form. Tap for more steps... eachofR1by2to make the entry at1,1a1. ...
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Solve Using a Matrix by Elimination y=4x+3x-2 , y=6 y=4x+3x−2y=4x+3x-2,y=6y=6 Move variables to the left and constant terms to the right. 点击获取更多步骤... 从等式两边同时减去4x。 y-4x=3x-2 y=6 从等式两边同时减去3x。
在等式两边都加上9。 x-y=9 x+y=6 x−y=9x-y=9 x+y=6x+y=6 Write the system as a matrix. [1−19116][1-19116] 求行简化阶梯形矩阵。 点击获取更多步骤... Perform the row operationR2=R2-R1to make the entry at2,1a0.
Solve thesystem of equations. Tap for more steps... eachin8y=6by8and simplify. eachin8y=6by8. 8y8=68 X+5y=12 Cancel theof8. 8y8=68 X+5y=12 yby1. y=68 X+5y=12 y=68 X+5y=12 y=68 X+5y=12 Cancel theof6and8.
18x−36y=−2418x-36y=-24 , x+y=1x+y=1 Find the AX=BAX=B from the system of equations. [18−3611]⋅[xy]=[−241][18-3611]⋅[xy]=[-241]Find the inverse of the coefficient matrix. Tap for more steps... [15423−15413][15423-15413]Left multiply both sides of the...
Find theinverseof thecoefficientmatrix. Tap for more steps... Theof a2×2can be found using the1ad-bc[d-b-ca]wheread-bcis the determinant. The determinant of a2×2can be found using the|abcd|=ad-cb. 1⋅-1-1⋅1 -1by1.
Left multiply both sides of the matrix equation by the inverse matrix. ([−26−47]⋅[0.7−0.60.4−0.2])⋅[xy]=[−26−47]⋅[115]([-26-47]⋅[0.7-0.60.4-0.2])⋅[xy]=[-26-47]⋅[115]Any matrix multiplied by its inverse is equal to 11 all the time. A...