Write each equation in standard form and use Cramer's Rule to solve the system.
$y=-3x+4$
$-2x=7y-9$

$x = 1, y = 1$

$x = - 1, y = 1$

$x = 1, y = - 1$

$x = - 1, y = - 1$

Verified step by step guidance

First, rewrite each equation in standard form, which is Ax + By = C. For the first equation y = -3x + 4, rearrange it to 3x + y = 4.

For the second equation -2x = 7y - 9, rearrange it to standard form by moving all terms to one side: 2x + 7y = 9.

Now, you have the system of equations in standard form: 3x + y = 4 and 2x + 7y = 9.

To use Cramer's Rule, first find the determinant of the coefficient matrix, D. The matrix is [[3, 1], [2, 7]], so D = (3)(7) - (1)(2).

Next, find the determinants for Dx and Dy by replacing the respective columns with the constants from the equations. Solve for x and y using x = Dx/D and y = Dy/D.

4:36m

Watch next

Master Determinants of 2×2 Matrices with a bite sized video explanation from Patrick

Determinants and Cramer's Rule practice set

Problem sets built by lead tutors

Expert video explanations

Struggling with College Algebra?

Write each equation in standard form and use Cramer's Rule to solve the system.y=−3x+4y=-3x+4y=−3x+4−2x=7y−9-2x=7y-9−2x=7y−9

Watch next

Determinants and Cramer's Rule practice set

Write each equation in standard form and use Cramer's Rule to solve the system.
$y=-3x+4$
$-2x=7y-9$