what is the solution to this system of linear equations? 3x - 2y = 14 5x + y = 32 (3, 5) (6, 2) (8, -1) (14…
what is the solution to this system of linear equations? 3x - 2y = 14 5x + y = 32 (3, 5) (6, 2) (8, -1) (14, -18)
Answer
Explanation:
Step1: Multiply second - equation by 2
Multiply $5x + y=32$ by 2 to get $10x + 2y = 64$.
Step2: Add the two equations
Add $3x-2y = 14$ and $10x + 2y = 64$: $(3x-2y)+(10x + 2y)=14 + 64$ $3x-2y+10x + 2y=78$ $13x=78$ $x = 6$
Step3: Substitute $x = 6$ into the second equation
Substitute $x = 6$ into $5x + y=32$: $5\times6+y=32$ $30 + y=32$ $y=32 - 30=2$
Answer:
B. $(6,2)$