Question

c. Solve the pair of equations, using method of elimination by equating
coefficients : 3 - (x - 5) = y + 2
2 (x + y) = 4 - 3y​

Answer 1

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Answer 2

Answer:

y = -8/3

x = 26/3

Step-by-step explanation:

3-(x-5) = y+2

3-2 - x+5 = y

1+5 - x = y

6-x = y

Therefore, x+y = 6 ------------(i)

2(x+y) = 4-3y

2x+2y = 4-3y

2x+3y+2y = 4

Therefore, 2x+5y = 4 -------------(ii)

Multiply equation (i) by 2 AND (ii) by 1

2x  +  2y  =  12

2x  +  5y  =  4  

        -3y  =  8

therefore, y = -8/3 ----------(iii)

Now, put the value of (iii) in (i)

x + y = 6

x + -8/3 = 6

x = 6+ 8/3

x= 26/3