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Mathematics 12 Online
OpenStudy (anonymous):

could sumone help me ?

OpenStudy (anonymous):

Solve the system of linear equations below. 4x - 3y = 17 5x + 4y = 60

OpenStudy (unklerhaukus):

can i use a matrix ?

OpenStudy (anonymous):

to tell you tha truth idk ?

OpenStudy (unklerhaukus):

\[\left(\begin{array}{ccc}4 & -3 \\5 & 4 \end{array}\right) \left(\begin{array}{ccc}x \\y \end{array}\right) =\left(\begin{array}{ccc}17 \\60 \end{array}\right)\] If this isnt the method you are expected to use to i dont want to confuse you

OpenStudy (anonymous):

A. x = 2, y = -3 B. x = 5, y = 8 C. x = 8, y = 5 D. x = -8, y = -5

OpenStudy (anonymous):

or you could just solve it by elimination method, solve for y in the first equation plug it inyour second equation to get x=17 and then sub this number back into your first equation to get y=60

OpenStudy (unklerhaukus):

i could tell you the answer but that would be cheating

OpenStudy (unklerhaukus):

or if you are entirely lazy you could just try entering the values in each solution (A,B,C,D) into the equations as see if they work or not

OpenStudy (unklerhaukus):

NB x≠17, y≠60

OpenStudy (unklerhaukus):

or multiply the first equation by 5 \[4x - 3y = 17\qquad\rightarrow 20x-15y=85\] and the second by 4 \[ 5x + 4y = 60\qquad\rightarrow 20x+16y=240\] now take away one from the other to cancel the x's

OpenStudy (unklerhaukus):

\[-31y=-155\]

OpenStudy (unklerhaukus):

and solve for y, last substitute this value for y into the first(or the second) equation and solve for x

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