Question

Solve the system of linear equations below:
2x + 5y = 34
x + 2y = 14

Answer 1

x + 2y = 14
-2y

x = -2y + 14

substitute x into the first equation

2 (-2y + 14) + 5y = 34
-4y + 28 + 5y = 34

simplify your y variable

y + 28 = 34

subtract 28 to find out what y equals

y = 6

now substitute y into the equation to find out what x equals

x + 2(6) = 14
x + 12 = 14

subtract 12 to get x

x = 2

now replace your values into an ordered pair, which is the solution

ANSWER: (2, 6)