Answer:
[tex]x=5\\\\y=-8[/tex]
Step-by-step explanation:
Given Equation:
[tex]-7x-10y=45\\\\[/tex] Equation:1
[tex]-3x-5y=25[/tex] Equation:2
Multiplying Equation:2 by '2':
[tex]-6x-10y=50[/tex] Equation:3
Using Elimination Method: Subtracting Equation:1 from Equation:3:
[tex]-6x-10y-(-7x-10y)=50-45[/tex]
[tex]-6x-10y+7x+10y=5\\\\[/tex]
Solving Like terms:
[tex]-6x+7x=5\\\\x=5[/tex]
Put the value of 'x' in Equation:2
[tex]-3x-5y=25[/tex]
[tex]-3(5)-5y=25\\\\-15-5y=25[/tex]
Adding '15' both sides:
[tex]-5y=25+15\\\\-5y=40[/tex]
Dividing by '-5' both sides:
[tex]y=40/-5\\\\y=-8[/tex]
The values of 'x' and 'y' are:
[tex]x=5\\\\y=-8[/tex]
