What is the solution to the system of equations?Use the substitution method.y=β3x+12x+5y=18Enter your answer in the boxes.
Accepted Solution
A:
Answer: Β (-1, 4)Step-by-step explanation:It is convenient to use the expression for y that the first equation gives. Put that in the second equation. Β 2x +5(-3x+1) = 18 Β 2x -15x +5 = 18 . . . . eliminate parentheses Β -13x = 13 . . . . . . . . . . collect terms, subtract 5 Β x = -1 . . . . . . . . . . . . . divide by -13Now, we can use this value of x in the first equation to find y. Β y = -3(-1) +1 = 4The solution is (x, y) = (-1, 4).