Question

What is the solution to 6x+5y=19 4x+6y=10

Answer 1

Answer:

The value of x is 4 and y is -1 .

Step-by-step explanation:

First, you have make any term to have the same coefficient. So I will choose x term :

$6x + 5y = 19 - - - \times 2$

$12x + 10y = 38 - - - (1)$

$4x + 6y = 10 - - - \times 3$

$12x + 18y = 30 - - - (2)$

Next, you have to solve it by Elimination method :

$(1) - (2)$

$12x + 10y - 12x - 18y = 38 - 30$

$- 8y = 8$

$y = - 1$

$substitute \: y = - 1 \: into \: (1)$

$12x + 10( - 1) = 38$

$12x - 10 = 38$

$12x = 38 + 10$

$12x = 48$

$x = 4$