Respuesta :
Answer : The value of x and y is, 4 and 1 respectively.
Step-by-step explanation :
The given equations are:
[tex]5x-2y=18[/tex] ..........(1)
[tex]3x+3y=15[/tex] ..........(2)
Using substitution method,
[tex]5x-2y=18[/tex]
[tex]5x=18+2y[/tex]
[tex]x=\frac{18+2y}{5}[/tex] ...........(3)
Now putting equation 3 in 2, we get the value of y.
[tex]3x+3y=15[/tex]
[tex]3(\frac{18+2y}{5})+3y=15[/tex]
[tex](\frac{54+6y}{5})+3y=15[/tex]
[tex]54+6y+15y=75[/tex]
[tex]6y+15y=75-54[/tex]
[tex]21y=21[/tex]
[tex]y=1[/tex]
Now putting value of y in equation 3, we get the value of x.
[tex]x=\frac{18+2y}{5}[/tex]
[tex]x=\frac{18+2\times 1}{5}[/tex]
[tex]x=\frac{18+2}{5}[/tex]
[tex]x=4[/tex]
Thus, the value of x and y is, 4 and 1 respectively.
