An equation is formed when two equal expressions. The solution (q, r) to this system of linear equations is (-2,9).
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two equations, Therefore, the solution (q, r) to this system of linear equations can be found as shown below.
12q + 3r = 15...............equation 1
–4q – 4r = –44...........equation 2
Divide the first equation by 3,
4q + r = 5
Solving for r,
r = 5 - 4q
Substitute the value of r in the second equation,
–4q – 4r = –44
–4q – 4(5-4q) = –44
-4q - 20 + 16q = -44
12q = -44 + 20
12q = -24
q = -2
Substitute the value of q in the first equation,
12q + 3r = 15
12(-2) + 3r = 15
-24 + 3r = 15
3r = 15 + 12
3r = 27
r = 9
Hence, the solution (q, r) to this system of linear equations is (-2,9).
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ5
