Q:

What is the solution to the system of equations?Use the substitution method.y=−3x+12x+5y=18Enter your answer in the boxes.

Accepted Solution

A:
Answer:   (-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.   2x +5(-3x+1) = 18   2x -15x +5 = 18 . . . . eliminate parentheses   -13x = 13 . . . . . . . . . . collect terms, subtract 5   x = -1 . . . . . . . . . . . . . divide by -13Now, we can use this value of x in the first equation to find y.   y = -3(-1) +1 = 4The solution is (x, y) = (-1, 4).