You could subsitute, elminate, use a matrix (Cramer's rule), or graph to find the solution to that pair of linear equations.Marvin D. wrote:Can you solve this:
x+y=14
5x+3y=13
Not really....but do you now how using a system?
I find the subsitution medthod to be the most simple:
x + y = 14 >> First Equation
y = -x + 14 >> Solve for y (you could solve for x if you prefer)
5x + 3(-x + 14) = 13 >> Subsitute y value in second equation
5x - 3x + 42 = 13 >> Distribute
2x + 42 = 13 >> Subtract
2x = -29 >> Subtract
x = -29/2 >> Divide
(-29/2) + y = 14 >> Subsitute x value in first equation
y = 57/2 >> Subtract
And your solution is (-29/2, 57/2)
