Question

Solve this system of linear equations. Separate

the x- and y-values with a comma.
5x + 6y = 33
-3x + 4y = 3

Answer 1

x = 3,

y = 3

Explanation:

{5x + 6y = 33,

{-3x + 4y = 3;

Make x or y the subject from either the first or the second equation (it is advisable to choose one where the numbers can be written as a finite decimal fraction after division, I chose to make x the subject from the 1st equation):

5x = 33 - 6y / : 5

x = 6,6 - 1,2y

Replace x in the 2nd equation with its value from the 1st one (the underlined expression):

-3 × (6,6 - 1,2y) + 4y = 3

Multiply every term inside the bracket by the term on the outside:

-19,8 + 3,6y + 4y = 3

Collect like terms and add them together:

7,6y = 22,8 / : 7,6

y = 3

x = 6,6 - 1,2 × 3 = 3