Question

-6x+5y=8 2x-4y=2 i need a x,y answer and i need some steps too

Answer 1

Answer:

I. x = -3

II. y = -2

Explanation:

Given the following algebraic equation;

$-6x + 5y = 8$ .........equation 1

$2x - 4y = 2$ ..........equation 2

We would solve the algebraic equation using the substitution method

From equation 1;

$5y = 8 + 6x$

$y = \frac {8 + 6x}{5}$ .....equation 3

Substituting eqn 3 into eqn 2, we have;

$2x - 4(\frac {8 + 6x}{5}) = 2$

$2x - \frac{32 + 24x}{5} = 2$

Multiplying all through by 5

$10x - 32 - 24x = 10$

Rearranging the equation, we have:

$10x - 24x = 10 + 32$

$-14x = 42$

$x = \frac {-42}{14}$

x = -3

Next we find the value of y;

From eqn 3;

$y = \frac {8 + 6x}{5}$

Substituting the value of "x" into the equation, we have;

$y = \frac {8 + 6*(-3)}{5}$

$y = \frac {8 - 18}{5}$

$y = \frac {-10}{5}$

y = -2