Answer:
The values of x and y to the given equations are x=5 and y=7
Step-by-step explanation:
Given equations are [tex]4x-5y=-15\hfill (1)[/tex]
[tex]7x-2y=21\hfill (2)[/tex]
To solve the given equations by elimination method :
Multiply the equation (1) into 2 we get
[tex]8x-10y=-30\hfill (3)[/tex]
Multiply the equation (2) into 5 we get
[tex]35x-10y=105\hfill (4)[/tex]
Now subtracting the equations (3) and (4) we get
[tex]8x-10y=-30[/tex]
[tex]35x-10y=105[/tex]
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[tex]-27x=-135[/tex]
[tex]x=\frac{135}{27}[/tex]
Therefore x=5
Now substitute the value of x=5 in equation (1) we get
4(5)-5y=-15
20-5y=-15
-5y=-15-20
-5y=-35
[tex]y=\frac{35}{5}[/tex]
Therefore y=7
The values are x=5 and y=7
