Question

What is the solution to the system of equations below?

Answer 1

$4x - y = - 5 \\ - 2x + y = 3$

Solve the second equation for y

$4x - y = - 5 \\ y = 3 + 2x$

Substitute the given value of y into the first equation

$4x - (3 + 2x) = - 5$

Solve the equation for x

$x = - 1$

Substitute the given value of x into the second equation

$y = 3 + 2( - 1)$

Solve the equation for y

$y = 1$

The possible solution of the system is the ordered pair (x,y)

$(x,y) = ( - 1, 1)$