Question

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

Answer 1

I. x = -3

II. y = -2

Step-by-step 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 - (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