Question

Solve the system of equation -3x-8y=20,-5x+y=19

Answer 1

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(-4, -1)
Equation Form:
X =-4, y =-1

Answer 2

x = -4

y = -1

Explanation:

- 3x - 8y = 20 --> (1)

- 5x + y = 19 --> (2)

We can make y as the subject in equation 2 and name it as equation 3.

y = 19 + 5x --> (3)

Let us find the value of x.

For that, let us take equation 1 and replace y with ( 19 + 5x ).

Let us solve it now.

- 3x - 8y = 20

- 3x - 8 ( 19 + 5x ) = 20

- 3x - 152 - 40x = 20

Combine like terms and add 152 to both sides.

- 43x = 172

x = - 4

And now let us find the value of y.

For that, let us use equation 3 and replace x with -4.

Let us solve it now.

y = 19 + 5x

y = 19 + 5 × -4

y = 19 - 20

y = - 1