What is the solution to the system of equations? Use the substitution method. y=−3x+1 2x+5y=18 Enter your answer in the boxes.

2 answers
Question:

What is the solution to the system of equations?
Use the substitution method.
y=−3x+1
2x+5y=18
Enter your answer in the boxes.

Answers

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).

Answer:(-1, 4)Step-by-step explanation:What you do is it tells you to use the substitution method so you take the first equation and substitute it into the y in the second equation. 2x+5(-3x+1)=182x-15x+5=18-13x+5=18-13x=13x=-1. You will then take the -1 and put it into the x in the first equation to get y. y=-3(-1)+1.y=3+1y=4.(-1, 4) is your answer.

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