Question

Use a matrix tool to solve the system of equations. choose the correct ordered pair.
4x-7y=-12 and -2x+6y=11 please help me i been stuck on this question.

Answer 1

See the attached.

I don't know what software you have for manipulating matrices. Geogebra is free and widely available; let me use that.

I define the matrix A in Geogebra:

A = {{4, -7}, {-2, 6}}

Now the vector, X:

X = Vector[(-12, 11)].

I calculate the inverse of A, Ainv.

Ainv = Invert[A]

Finally, I solve the equations.

Sol = ApplyMatrix[Ainv, X]

which displays as (0.5, 2).