How to solve this equation?

Hi there,

This should be an easy question but somehow it doesn't work...

How can I solve this using matrices?

3x-2y=17 5x+3y=3

Thanks for any solutions!

Answer 1

[Matz Johansson Bergström]

This is actually very simple using the \ operator, see mldivide,\ documentation

A = [3, -2; 5, 3];
b = [17, 3]';
A\b

[Matz Johansson Bergström]

Also, we can easily verify that it is correct

x = 0:5;
y1 = (3*x - 17)/2;
y2 = (-5*x + 3)/3;

close all
hold on
plot(x, y1, 'k', 'linewidth',2)
plot(x, y2, 'b', 'linewidth',2)

A = [3, -2; 5, 3];
b = [17, 3]';
xy = A\b % solve Ax=b for x

plot(xy(1), xy(2), 'Or', 'linewidth', 4) %the solution

Answer 2

[Steve]

Great thank you! You helped me a lot! =)