Question

What is the system of equation for this equation ?
Y=-2,4x-3y=18

Answer 1

x = -30

y = 18

Explanation:

-2,4x - 3y is equal to both 18 and y

Since there are two equal signs, we have a double equation (we can write each equation seperately and put them in a system):

{y = -2,4x - 3y,

{-2,4x - 3y = 18;

.

We move 3y to the left, so we change the sign to the opposite:

{4y = -2,4x, / : 4 (put y and 3y together)

{-2,4x - 3y = 18;

.

y = -0,6x,

-2,4x - 3y = 18;

Replace y in the 2nd equation with its value from the 1st equation:

-2,4x - 3 × (-0,6x) = 18

-2,4x + 1,8x = 18

-0,6x = 18 / : (-0,6)

x = -30

y = -0,6 × (-30) = 18