Question

Q8. If x = a, y = b is the solution 3 points
of the equations x + y = 5 and
2x - 3y = 4, then the values of
a and b are respectively
O 6/5, 19/5
O 19/5,6/5
O 6,-1
0 -1,6​

Answer 1

Answer:

a = 19/5 and b = 6/5

Step-by-step explanation:

a + b = 5 .... Equation 1

2a - 3b = 4 ..... Equation 2

Multiple equation 1 by 2,

2a + 2b = 10 ..... Equation 3

Subtract equation 2 from equation 3,

2a + 2b = 10

- 2a - 3b = 4

We get,

5b = 6

b = 6/5

Substituting b = 6/5 in equation 1,

a + 6/5 = 5

a = 5 - 6/5

a = (25 - 6)/5

a = 19/5

Therefore, a = 19/5 and b = 6/5

Second option is the correct answer.

Answer 2

Answer:

in this u can find the values of x and y but any of the pair of linear equation method ( substitution , elimination or cross multiplication)

$x + y = 5 - - - > 1 \\ 2x - 3y = 4 - - > 2 \\ u \: can \: use \: substitution \: \\ in \: eq \:(1) = x + y = 5 \\ x = 5 - y - - > 3 \\ substitute \: (3) \: in \: eq(1) \\ 2x - 3y = 4 \\ 2(5 - y) - 3y = 4 \\ 10 - 2y - 3y = 4 \\ - 5y = - 6 \\ y = \frac{6}{5} \\ x = 5 - y = 5 - \frac{6}{5} \\ x = \frac{19}{5} \\ a = \frac{19}{5} \: and \: \: b = \frac{6}{5}$

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