Answer:
x = -4 , y = 3
Step-by-step explanation:
5x - 7y = -41 ... (i)
-3x - 5y = -3 ... (ii)
Multiplying (i) by -3 and (ii) by 5 ;
-15x + 21y = 123 ... (i)
-15x - 25y = -15 ... (ii)
Subtracting (i) by (ii) ;
0 + 46y = 138
46y = 138
y = 138 ÷ 46 = 3
Returning to equation (ii) ;
-3x - 5(3) = -3
-3x = -3 + 15
-3x = 12
x = -4
Answer: The values of x and y in the given equations are [tex]x=-4[/tex] and [tex]y=3[/tex]
Step by step explanation:
Given system of equations are
[tex]5x-7y=-41\hfill (1)[/tex]
[tex]-3x-5y=-3\hfill (2)[/tex]
To find the values of x and y :
by using Elimination method
Now multiplying the equation (1) into 3 we get
[tex]15x-21y=-123[/tex]
Now multiplying the equation (2) into 5 we get
[tex]-15x-25y=-15[/tex]
Adding the above two equations
[tex]15x-21y=-123[/tex]
[tex]-15x-25y=-15[/tex]
_________________
[tex]-46y=-138[/tex]
_________________
[tex]46y=138[/tex]
[tex]y=\frac{138}{46}[/tex]
[tex]y=3[/tex]
Therefore [tex]y=3[/tex]
Substitute y value in equation (1)
[tex]5x-7y=-41[/tex]
[tex]5x-(7\times 3)=-41[/tex]
[tex]5x-21=-41[/tex]
[tex]5x=21-41[/tex]
[tex]5x=-20[/tex]
[tex]x=-\frac{20}{5}[/tex]
[tex]x=-4[/tex]
Therefore [tex]x=-4[/tex]
The values of x and y are [tex]x=-4[/tex] and [tex]y=3[/tex]
