Question

(1) ( 2 x+3 y=19 ) and ( -5 x+4 y=37 )
( 3010 quad 2 x+3 y=19 )
[
5 x+4 y=37
]
We shall substract eq (1) from (2) to cancel one of the variable i.exary
eq (1) will ( 60 rightarrow 10 x+15 y=95-3 )
( cos x i u b e rightarrow log x+8 y=74 rightarrow(4) )
( Rightarrow quad e_{q}(vec{y})-(overrightarrow{4}) Rightarrow quad 7 y=21 )
( y=3 )
:fameq ( rightarrow x=frac{19-3 times 3}{2}=frac{19-9}{2}=5 Rightarrow overline{mathrm{R}} )

# If 2x+3y=19 and 5x+4y= 37, then find the values of x and y.

Solution