could sumone help me ?
Solve the system of linear equations below. 4x - 3y = 17 5x + 4y = 60
can i use a matrix ?
to tell you tha truth idk ?
\[\left(\begin{array}{ccc}4 & -3 \\5 & 4 \end{array}\right) \left(\begin{array}{ccc}x \\y \end{array}\right) =\left(\begin{array}{ccc}17 \\60 \end{array}\right)\] If this isnt the method you are expected to use to i dont want to confuse you
A. x = 2, y = -3 B. x = 5, y = 8 C. x = 8, y = 5 D. x = -8, y = -5
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
i could tell you the answer but that would be cheating
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
NB x≠17, y≠60
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
\[-31y=-155\]
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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