Question

Solve 2x+3y= 7 and x-y=11 by substitution method

Answer 1

Answer:

x= 84/5 and y = 29/5

Step-by-step explanation:

2x+ 3y = 7---------------eq 1

x - y = 11---------------eq 2

from eq 2 we get

x = 11 +y --------------eq 3

substituting the value of x i.e eq 3 in eq 1

2x + 3y = 7

2( 11 + y) + 3y = 7

22 + 2y + 3y = 7

22 + 5y = 7

5y = 7 + 22

5y = 29

y = 29/5

substituting y = 29/5 in eq 2, we get

x - 29/5 =11

x = 11 + 29/5

x = 55 + 29

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5

x = 84/5