4. 10x + 3y = 75, 6x - 5y = 11
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The given two equations
10x+3y=75
6x-5y=11
Given that we need to solve the equations using the substitution method
1.solve the equation 1 for x=or y
2.substitute the result in the second equation
3.with the result, substitute in frst equation
4. X, y obtained
From equation 1
10x+3y=75
10x=75-3y
X=75-3y/10
Substitution x equation in 2
6x-5y=11
6(75-3y) /10-5y=11
3(75-3y)/5-5y=11
225-9y-25y=55
225-34y=55
225-55=34y
170=34y
Y=5
3.substitute the value of y in eq1
10x+3y=75
10x+3(5)=75
10x+15=75
10x=75-15
10x=60
X=6
Therefore the required solution is
X=6
Y=5
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