Question

Solve the following pair of linear equations by the substitution method : 2x + 3y = 10, 3x – y = 4 ​

Answer 1

Answer:

value of x equals 2

value of y equals 2

Step-by-step explanation:

$3x - y = 4 \\ - y = 4 - 3x \\ y = 3x - 4$

substitute in equation 2x + 3y = 10

$2x + 3(3x - 4) = 10 \\ 2x + 9x - 12 = 10 \\ 11x = 10 + 12 = 22 \\ x = \frac{22}{11} = 2$

substitute x = 2 in y = 3x - 4

$y = 3(2) - 4 = 6 - 4 = 2 \\ y = 2$